Identifier
- St000289: Binary words ⟶ ℤ
Values
0 => 0
1 => 1
00 => 0
01 => 1
10 => 2
11 => 3
000 => 0
001 => 1
010 => 2
011 => 3
100 => 4
101 => 5
110 => 6
111 => 7
0000 => 0
0001 => 1
0010 => 2
0011 => 3
0100 => 4
0101 => 5
0110 => 6
0111 => 7
1000 => 8
1001 => 9
1010 => 10
1011 => 11
1100 => 12
1101 => 13
1110 => 14
1111 => 15
00000 => 0
00001 => 1
00010 => 2
00011 => 3
00100 => 4
00101 => 5
00110 => 6
00111 => 7
01000 => 8
01001 => 9
01010 => 10
01011 => 11
01100 => 12
01101 => 13
01110 => 14
01111 => 15
10000 => 16
10001 => 17
10010 => 18
10011 => 19
10100 => 20
10101 => 21
10110 => 22
10111 => 23
11000 => 24
11001 => 25
11010 => 26
11011 => 27
11100 => 28
11101 => 29
11110 => 30
11111 => 31
000000 => 0
000001 => 1
000010 => 2
000011 => 3
000100 => 4
000101 => 5
000110 => 6
000111 => 7
001000 => 8
001001 => 9
001010 => 10
001011 => 11
001100 => 12
001101 => 13
001110 => 14
001111 => 15
010000 => 16
010001 => 17
010010 => 18
010011 => 19
010100 => 20
010101 => 21
010110 => 22
010111 => 23
011000 => 24
011001 => 25
011010 => 26
011011 => 27
011100 => 28
011101 => 29
011110 => 30
011111 => 31
100000 => 32
100001 => 33
100010 => 34
100011 => 35
100100 => 36
100101 => 37
100110 => 38
>>> Load all 1022 entries. <<<100111 => 39
101000 => 40
101001 => 41
101010 => 42
101011 => 43
101100 => 44
101101 => 45
101110 => 46
101111 => 47
110000 => 48
110001 => 49
110010 => 50
110011 => 51
110100 => 52
110101 => 53
110110 => 54
110111 => 55
111000 => 56
111001 => 57
111010 => 58
111011 => 59
111100 => 60
111101 => 61
111110 => 62
111111 => 63
0000000 => 0
0000001 => 1
0000010 => 2
0000011 => 3
0000100 => 4
0000101 => 5
0000110 => 6
0000111 => 7
0001000 => 8
0001001 => 9
0001010 => 10
0001011 => 11
0001100 => 12
0001101 => 13
0001110 => 14
0001111 => 15
0010000 => 16
0010001 => 17
0010010 => 18
0010011 => 19
0010100 => 20
0010101 => 21
0010110 => 22
0010111 => 23
0011000 => 24
0011001 => 25
0011010 => 26
0011011 => 27
0011100 => 28
0011101 => 29
0011110 => 30
0011111 => 31
0100000 => 32
0100001 => 33
0100010 => 34
0100011 => 35
0100100 => 36
0100101 => 37
0100110 => 38
0100111 => 39
0101000 => 40
0101001 => 41
0101010 => 42
0101011 => 43
0101100 => 44
0101101 => 45
0101110 => 46
0101111 => 47
0110000 => 48
0110001 => 49
0110010 => 50
0110011 => 51
0110100 => 52
0110101 => 53
0110110 => 54
0110111 => 55
0111000 => 56
0111001 => 57
0111010 => 58
0111011 => 59
0111100 => 60
0111101 => 61
0111110 => 62
0111111 => 63
1000000 => 64
1000001 => 65
1000010 => 66
1000011 => 67
1000100 => 68
1000101 => 69
1000110 => 70
1000111 => 71
1001000 => 72
1001001 => 73
1001010 => 74
1001011 => 75
1001100 => 76
1001101 => 77
1001110 => 78
1001111 => 79
1010000 => 80
1010001 => 81
1010010 => 82
1010011 => 83
1010100 => 84
1010101 => 85
1010110 => 86
1010111 => 87
1011000 => 88
1011001 => 89
1011010 => 90
1011011 => 91
1011100 => 92
1011101 => 93
1011110 => 94
1011111 => 95
1100000 => 96
1100001 => 97
1100010 => 98
1100011 => 99
1100100 => 100
1100101 => 101
1100110 => 102
1100111 => 103
1101000 => 104
1101001 => 105
1101010 => 106
1101011 => 107
1101100 => 108
1101101 => 109
1101110 => 110
1101111 => 111
1110000 => 112
1110001 => 113
1110010 => 114
1110011 => 115
1110100 => 116
1110101 => 117
1110110 => 118
1110111 => 119
1111000 => 120
1111001 => 121
1111010 => 122
1111011 => 123
1111100 => 124
1111101 => 125
1111110 => 126
1111111 => 127
00000000 => 0
00000001 => 1
00000010 => 2
00000011 => 3
00000100 => 4
00000101 => 5
00000110 => 6
00000111 => 7
00001000 => 8
00001001 => 9
00001010 => 10
00001011 => 11
00001100 => 12
00001101 => 13
00001110 => 14
00001111 => 15
00010000 => 16
00010001 => 17
00010010 => 18
00010011 => 19
00010100 => 20
00010101 => 21
00010110 => 22
00010111 => 23
00011000 => 24
00011001 => 25
00011010 => 26
00011011 => 27
00011100 => 28
00011101 => 29
00011110 => 30
00011111 => 31
00100000 => 32
00100001 => 33
00100010 => 34
00100011 => 35
00100100 => 36
00100101 => 37
00100110 => 38
00100111 => 39
00101000 => 40
00101001 => 41
00101010 => 42
00101011 => 43
00101100 => 44
00101101 => 45
00101110 => 46
00101111 => 47
00110000 => 48
00110001 => 49
00110010 => 50
00110011 => 51
00110100 => 52
00110101 => 53
00110110 => 54
00110111 => 55
00111000 => 56
00111001 => 57
00111010 => 58
00111011 => 59
00111100 => 60
00111101 => 61
00111110 => 62
00111111 => 63
01000000 => 64
01000001 => 65
01000010 => 66
01000011 => 67
01000100 => 68
01000101 => 69
01000110 => 70
01000111 => 71
01001000 => 72
01001001 => 73
01001010 => 74
01001011 => 75
01001100 => 76
01001101 => 77
01001110 => 78
01001111 => 79
01010000 => 80
01010001 => 81
01010010 => 82
01010011 => 83
01010100 => 84
01010101 => 85
01010110 => 86
01010111 => 87
01011000 => 88
01011001 => 89
01011010 => 90
01011011 => 91
01011100 => 92
01011101 => 93
01011110 => 94
01011111 => 95
01100000 => 96
01100001 => 97
01100010 => 98
01100011 => 99
01100100 => 100
01100101 => 101
01100110 => 102
01100111 => 103
01101000 => 104
01101001 => 105
01101010 => 106
01101011 => 107
01101100 => 108
01101101 => 109
01101110 => 110
01101111 => 111
01110000 => 112
01110001 => 113
01110010 => 114
01110011 => 115
01110100 => 116
01110101 => 117
01110110 => 118
01110111 => 119
01111000 => 120
01111001 => 121
01111010 => 122
01111011 => 123
01111100 => 124
01111101 => 125
01111110 => 126
01111111 => 127
10000000 => 128
10000001 => 129
10000010 => 130
10000011 => 131
10000100 => 132
10000101 => 133
10000110 => 134
10000111 => 135
10001000 => 136
10001001 => 137
10001010 => 138
10001011 => 139
10001100 => 140
10001101 => 141
10001110 => 142
10001111 => 143
10010000 => 144
10010001 => 145
10010010 => 146
10010011 => 147
10010100 => 148
10010101 => 149
10010110 => 150
10010111 => 151
10011000 => 152
10011001 => 153
10011010 => 154
10011011 => 155
10011100 => 156
10011101 => 157
10011110 => 158
10011111 => 159
10100000 => 160
10100001 => 161
10100010 => 162
10100011 => 163
10100100 => 164
10100101 => 165
10100110 => 166
10100111 => 167
10101000 => 168
10101001 => 169
10101010 => 170
10101011 => 171
10101100 => 172
10101101 => 173
10101110 => 174
10101111 => 175
10110000 => 176
10110001 => 177
10110010 => 178
10110011 => 179
10110100 => 180
10110101 => 181
10110110 => 182
10110111 => 183
10111000 => 184
10111001 => 185
10111010 => 186
10111011 => 187
10111100 => 188
10111101 => 189
10111110 => 190
10111111 => 191
11000000 => 192
11000001 => 193
11000010 => 194
11000011 => 195
11000100 => 196
11000101 => 197
11000110 => 198
11000111 => 199
11001000 => 200
11001001 => 201
11001010 => 202
11001011 => 203
11001100 => 204
11001101 => 205
11001110 => 206
11001111 => 207
11010000 => 208
11010001 => 209
11010010 => 210
11010011 => 211
11010100 => 212
11010101 => 213
11010110 => 214
11010111 => 215
11011000 => 216
11011001 => 217
11011010 => 218
11011011 => 219
11011100 => 220
11011101 => 221
11011110 => 222
11011111 => 223
11100000 => 224
11100001 => 225
11100010 => 226
11100011 => 227
11100100 => 228
11100101 => 229
11100110 => 230
11100111 => 231
11101000 => 232
11101001 => 233
11101010 => 234
11101011 => 235
11101100 => 236
11101101 => 237
11101110 => 238
11101111 => 239
11110000 => 240
11110001 => 241
11110010 => 242
11110011 => 243
11110100 => 244
11110101 => 245
11110110 => 246
11110111 => 247
11111000 => 248
11111001 => 249
11111010 => 250
11111011 => 251
11111100 => 252
11111101 => 253
11111110 => 254
11111111 => 255
000000000 => 0
000000001 => 1
000000010 => 2
000000011 => 3
000000100 => 4
000000101 => 5
000000110 => 6
000000111 => 7
000001000 => 8
000001001 => 9
000001010 => 10
000001011 => 11
000001100 => 12
000001101 => 13
000001110 => 14
000001111 => 15
000010000 => 16
000010001 => 17
000010010 => 18
000010011 => 19
000010100 => 20
000010101 => 21
000010110 => 22
000010111 => 23
000011000 => 24
000011001 => 25
000011010 => 26
000011011 => 27
000011100 => 28
000011101 => 29
000011110 => 30
000011111 => 31
000100000 => 32
000100001 => 33
000100010 => 34
000100011 => 35
000100100 => 36
000100101 => 37
000100110 => 38
000100111 => 39
000101000 => 40
000101001 => 41
000101010 => 42
000101011 => 43
000101100 => 44
000101101 => 45
000101110 => 46
000101111 => 47
000110000 => 48
000110001 => 49
000110010 => 50
000110011 => 51
000110100 => 52
000110101 => 53
000110110 => 54
000110111 => 55
000111000 => 56
000111001 => 57
000111010 => 58
000111011 => 59
000111100 => 60
000111101 => 61
000111110 => 62
000111111 => 63
001000000 => 64
001000001 => 65
001000010 => 66
001000011 => 67
001000100 => 68
001000101 => 69
001000110 => 70
001000111 => 71
001001000 => 72
001001001 => 73
001001010 => 74
001001011 => 75
001001100 => 76
001001101 => 77
001001110 => 78
001001111 => 79
001010000 => 80
001010001 => 81
001010010 => 82
001010011 => 83
001010100 => 84
001010101 => 85
001010110 => 86
001010111 => 87
001011000 => 88
001011001 => 89
001011010 => 90
001011011 => 91
001011100 => 92
001011101 => 93
001011110 => 94
001011111 => 95
001100000 => 96
001100001 => 97
001100010 => 98
001100011 => 99
001100100 => 100
001100101 => 101
001100110 => 102
001100111 => 103
001101000 => 104
001101001 => 105
001101010 => 106
001101011 => 107
001101100 => 108
001101101 => 109
001101110 => 110
001101111 => 111
001110000 => 112
001110001 => 113
001110010 => 114
001110011 => 115
001110100 => 116
001110101 => 117
001110110 => 118
001110111 => 119
001111000 => 120
001111001 => 121
001111010 => 122
001111011 => 123
001111100 => 124
001111101 => 125
001111110 => 126
001111111 => 127
010000000 => 128
010000001 => 129
010000010 => 130
010000011 => 131
010000100 => 132
010000101 => 133
010000110 => 134
010000111 => 135
010001000 => 136
010001001 => 137
010001010 => 138
010001011 => 139
010001100 => 140
010001101 => 141
010001110 => 142
010001111 => 143
010010000 => 144
010010001 => 145
010010010 => 146
010010011 => 147
010010100 => 148
010010101 => 149
010010110 => 150
010010111 => 151
010011000 => 152
010011001 => 153
010011010 => 154
010011011 => 155
010011100 => 156
010011101 => 157
010011110 => 158
010011111 => 159
010100000 => 160
010100001 => 161
010100010 => 162
010100011 => 163
010100100 => 164
010100101 => 165
010100110 => 166
010100111 => 167
010101000 => 168
010101001 => 169
010101010 => 170
010101011 => 171
010101100 => 172
010101101 => 173
010101110 => 174
010101111 => 175
010110000 => 176
010110001 => 177
010110010 => 178
010110011 => 179
010110100 => 180
010110101 => 181
010110110 => 182
010110111 => 183
010111000 => 184
010111001 => 185
010111010 => 186
010111011 => 187
010111100 => 188
010111101 => 189
010111110 => 190
010111111 => 191
011000000 => 192
011000001 => 193
011000010 => 194
011000011 => 195
011000100 => 196
011000101 => 197
011000110 => 198
011000111 => 199
011001000 => 200
011001001 => 201
011001010 => 202
011001011 => 203
011001100 => 204
011001101 => 205
011001110 => 206
011001111 => 207
011010000 => 208
011010001 => 209
011010010 => 210
011010011 => 211
011010100 => 212
011010101 => 213
011010110 => 214
011010111 => 215
011011000 => 216
011011001 => 217
011011010 => 218
011011011 => 219
011011100 => 220
011011101 => 221
011011110 => 222
011011111 => 223
011100000 => 224
011100001 => 225
011100010 => 226
011100011 => 227
011100100 => 228
011100101 => 229
011100110 => 230
011100111 => 231
011101000 => 232
011101001 => 233
011101010 => 234
011101011 => 235
011101100 => 236
011101101 => 237
011101110 => 238
011101111 => 239
011110000 => 240
011110001 => 241
011110010 => 242
011110011 => 243
011110100 => 244
011110101 => 245
011110110 => 246
011110111 => 247
011111000 => 248
011111001 => 249
011111010 => 250
011111011 => 251
011111100 => 252
011111101 => 253
011111110 => 254
011111111 => 255
100000000 => 256
100000001 => 257
100000010 => 258
100000011 => 259
100000100 => 260
100000101 => 261
100000110 => 262
100000111 => 263
100001000 => 264
100001001 => 265
100001010 => 266
100001011 => 267
100001100 => 268
100001101 => 269
100001110 => 270
100001111 => 271
100010000 => 272
100010001 => 273
100010010 => 274
100010011 => 275
100010100 => 276
100010101 => 277
100010110 => 278
100010111 => 279
100011000 => 280
100011001 => 281
100011010 => 282
100011011 => 283
100011100 => 284
100011101 => 285
100011110 => 286
100011111 => 287
100100000 => 288
100100001 => 289
100100010 => 290
100100011 => 291
100100100 => 292
100100101 => 293
100100110 => 294
100100111 => 295
100101000 => 296
100101001 => 297
100101010 => 298
100101011 => 299
100101100 => 300
100101101 => 301
100101110 => 302
100101111 => 303
100110000 => 304
100110001 => 305
100110010 => 306
100110011 => 307
100110100 => 308
100110101 => 309
100110110 => 310
100110111 => 311
100111000 => 312
100111001 => 313
100111010 => 314
100111011 => 315
100111100 => 316
100111101 => 317
100111110 => 318
100111111 => 319
101000000 => 320
101000001 => 321
101000010 => 322
101000011 => 323
101000100 => 324
101000101 => 325
101000110 => 326
101000111 => 327
101001000 => 328
101001001 => 329
101001010 => 330
101001011 => 331
101001100 => 332
101001101 => 333
101001110 => 334
101001111 => 335
101010000 => 336
101010001 => 337
101010010 => 338
101010011 => 339
101010100 => 340
101010101 => 341
101010110 => 342
101010111 => 343
101011000 => 344
101011001 => 345
101011010 => 346
101011011 => 347
101011100 => 348
101011101 => 349
101011110 => 350
101011111 => 351
101100000 => 352
101100001 => 353
101100010 => 354
101100011 => 355
101100100 => 356
101100101 => 357
101100110 => 358
101100111 => 359
101101000 => 360
101101001 => 361
101101010 => 362
101101011 => 363
101101100 => 364
101101101 => 365
101101110 => 366
101101111 => 367
101110000 => 368
101110001 => 369
101110010 => 370
101110011 => 371
101110100 => 372
101110101 => 373
101110110 => 374
101110111 => 375
101111000 => 376
101111001 => 377
101111010 => 378
101111011 => 379
101111100 => 380
101111101 => 381
101111110 => 382
101111111 => 383
110000000 => 384
110000001 => 385
110000010 => 386
110000011 => 387
110000100 => 388
110000101 => 389
110000110 => 390
110000111 => 391
110001000 => 392
110001001 => 393
110001010 => 394
110001011 => 395
110001100 => 396
110001101 => 397
110001110 => 398
110001111 => 399
110010000 => 400
110010001 => 401
110010010 => 402
110010011 => 403
110010100 => 404
110010101 => 405
110010110 => 406
110010111 => 407
110011000 => 408
110011001 => 409
110011010 => 410
110011011 => 411
110011100 => 412
110011101 => 413
110011110 => 414
110011111 => 415
110100000 => 416
110100001 => 417
110100010 => 418
110100011 => 419
110100100 => 420
110100101 => 421
110100110 => 422
110100111 => 423
110101000 => 424
110101001 => 425
110101010 => 426
110101011 => 427
110101100 => 428
110101101 => 429
110101110 => 430
110101111 => 431
110110000 => 432
110110001 => 433
110110010 => 434
110110011 => 435
110110100 => 436
110110101 => 437
110110110 => 438
110110111 => 439
110111000 => 440
110111001 => 441
110111010 => 442
110111011 => 443
110111100 => 444
110111101 => 445
110111110 => 446
110111111 => 447
111000000 => 448
111000001 => 449
111000010 => 450
111000011 => 451
111000100 => 452
111000101 => 453
111000110 => 454
111000111 => 455
111001000 => 456
111001001 => 457
111001010 => 458
111001011 => 459
111001100 => 460
111001101 => 461
111001110 => 462
111001111 => 463
111010000 => 464
111010001 => 465
111010010 => 466
111010011 => 467
111010100 => 468
111010101 => 469
111010110 => 470
111010111 => 471
111011000 => 472
111011001 => 473
111011010 => 474
111011011 => 475
111011100 => 476
111011101 => 477
111011110 => 478
111011111 => 479
111100000 => 480
111100001 => 481
111100010 => 482
111100011 => 483
111100100 => 484
111100101 => 485
111100110 => 486
111100111 => 487
111101000 => 488
111101001 => 489
111101010 => 490
111101011 => 491
111101100 => 492
111101101 => 493
111101110 => 494
111101111 => 495
111110000 => 496
111110001 => 497
111110010 => 498
111110011 => 499
111110100 => 500
111110101 => 501
111110110 => 502
111110111 => 503
111111000 => 504
111111001 => 505
111111010 => 506
111111011 => 507
111111100 => 508
111111101 => 509
111111110 => 510
111111111 => 511
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,1,1,1 1,1,1,1,1,1,1,1 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1 1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
$F_{1} = 1 + q$
$F_{2} = 1 + q + q^{2} + q^{3}$
$F_{3} = 1 + q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{7}$
$F_{4} = 1 + q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{7} + q^{8} + q^{9} + q^{10} + q^{11} + q^{12} + q^{13} + q^{14} + q^{15}$
$F_{5} = 1 + q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{7} + q^{8} + q^{9} + q^{10} + q^{11} + q^{12} + q^{13} + q^{14} + q^{15} + q^{16} + q^{17} + q^{18} + q^{19} + q^{20} + q^{21} + q^{22} + q^{23} + q^{24} + q^{25} + q^{26} + q^{27} + q^{28} + q^{29} + q^{30} + q^{31}$
$F_{6} = 1 + q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{7} + q^{8} + q^{9} + q^{10} + q^{11} + q^{12} + q^{13} + q^{14} + q^{15} + q^{16} + q^{17} + q^{18} + q^{19} + q^{20} + q^{21} + q^{22} + q^{23} + q^{24} + q^{25} + q^{26} + q^{27} + q^{28} + q^{29} + q^{30} + q^{31} + q^{32} + q^{33} + q^{34} + q^{35} + q^{36} + q^{37} + q^{38} + q^{39} + q^{40} + q^{41} + q^{42} + q^{43} + q^{44} + q^{45} + q^{46} + q^{47} + q^{48} + q^{49} + q^{50} + q^{51} + q^{52} + q^{53} + q^{54} + q^{55} + q^{56} + q^{57} + q^{58} + q^{59} + q^{60} + q^{61} + q^{62} + q^{63}$
$F_{7} = 1 + q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{7} + q^{8} + q^{9} + q^{10} + q^{11} + q^{12} + q^{13} + q^{14} + q^{15} + q^{16} + q^{17} + q^{18} + q^{19} + q^{20} + q^{21} + q^{22} + q^{23} + q^{24} + q^{25} + q^{26} + q^{27} + q^{28} + q^{29} + q^{30} + q^{31} + q^{32} + q^{33} + q^{34} + q^{35} + q^{36} + q^{37} + q^{38} + q^{39} + q^{40} + q^{41} + q^{42} + q^{43} + q^{44} + q^{45} + q^{46} + q^{47} + q^{48} + q^{49} + q^{50} + q^{51} + q^{52} + q^{53} + q^{54} + q^{55} + q^{56} + q^{57} + q^{58} + q^{59} + q^{60} + q^{61} + q^{62} + q^{63} + q^{64} + q^{65} + q^{66} + q^{67} + q^{68} + q^{69} + q^{70} + q^{71} + q^{72} + q^{73} + q^{74} + q^{75} + q^{76} + q^{77} + q^{78} + q^{79} + q^{80} + q^{81} + q^{82} + q^{83} + q^{84} + q^{85} + q^{86} + q^{87} + q^{88} + q^{89} + q^{90} + q^{91} + q^{92} + q^{93} + q^{94} + q^{95} + q^{96} + q^{97} + q^{98} + q^{99} + q^{100} + q^{101} + q^{102} + q^{103} + q^{104} + q^{105} + q^{106} + q^{107} + q^{108} + q^{109} + q^{110} + q^{111} + q^{112} + q^{113} + q^{114} + q^{115} + q^{116} + q^{117} + q^{118} + q^{119} + q^{120} + q^{121} + q^{122} + q^{123} + q^{124} + q^{125} + q^{126} + q^{127}$
$F_{8} = 1 + q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{7} + q^{8} + q^{9} + q^{10} + q^{11} + q^{12} + q^{13} + q^{14} + q^{15} + q^{16} + q^{17} + q^{18} + q^{19} + q^{20} + q^{21} + q^{22} + q^{23} + q^{24} + q^{25} + q^{26} + q^{27} + q^{28} + q^{29} + q^{30} + q^{31} + q^{32} + q^{33} + q^{34} + q^{35} + q^{36} + q^{37} + q^{38} + q^{39} + q^{40} + q^{41} + q^{42} + q^{43} + q^{44} + q^{45} + q^{46} + q^{47} + q^{48} + q^{49} + q^{50} + q^{51} + q^{52} + q^{53} + q^{54} + q^{55} + q^{56} + q^{57} + q^{58} + q^{59} + q^{60} + q^{61} + q^{62} + q^{63} + q^{64} + q^{65} + q^{66} + q^{67} + q^{68} + q^{69} + q^{70} + q^{71} + q^{72} + q^{73} + q^{74} + q^{75} + q^{76} + q^{77} + q^{78} + q^{79} + q^{80} + q^{81} + q^{82} + q^{83} + q^{84} + q^{85} + q^{86} + q^{87} + q^{88} + q^{89} + q^{90} + q^{91} + q^{92} + q^{93} + q^{94} + q^{95} + q^{96} + q^{97} + q^{98} + q^{99} + q^{100} + q^{101} + q^{102} + q^{103} + q^{104} + q^{105} + q^{106} + q^{107} + q^{108} + q^{109} + q^{110} + q^{111} + q^{112} + q^{113} + q^{114} + q^{115} + q^{116} + q^{117} + q^{118} + q^{119} + q^{120} + q^{121} + q^{122} + q^{123} + q^{124} + q^{125} + q^{126} + q^{127} + q^{128} + q^{129} + q^{130} + q^{131} + q^{132} + q^{133} + q^{134} + q^{135} + q^{136} + q^{137} + q^{138} + q^{139} + q^{140} + q^{141} + q^{142} + q^{143} + q^{144} + q^{145} + q^{146} + q^{147} + q^{148} + q^{149} + q^{150} + q^{151} + q^{152} + q^{153} + q^{154} + q^{155} + q^{156} + q^{157} + q^{158} + q^{159} + q^{160} + q^{161} + q^{162} + q^{163} + q^{164} + q^{165} + q^{166} + q^{167} + q^{168} + q^{169} + q^{170} + q^{171} + q^{172} + q^{173} + q^{174} + q^{175} + q^{176} + q^{177} + q^{178} + q^{179} + q^{180} + q^{181} + q^{182} + q^{183} + q^{184} + q^{185} + q^{186} + q^{187} + q^{188} + q^{189} + q^{190} + q^{191} + q^{192} + q^{193} + q^{194} + q^{195} + q^{196} + q^{197} + q^{198} + q^{199} + q^{200} + q^{201} + q^{202} + q^{203} + q^{204} + q^{205} + q^{206} + q^{207} + q^{208} + q^{209} + q^{210} + q^{211} + q^{212} + q^{213} + q^{214} + q^{215} + q^{216} + q^{217} + q^{218} + q^{219} + q^{220} + q^{221} + q^{222} + q^{223} + q^{224} + q^{225} + q^{226} + q^{227} + q^{228} + q^{229} + q^{230} + q^{231} + q^{232} + q^{233} + q^{234} + q^{235} + q^{236} + q^{237} + q^{238} + q^{239} + q^{240} + q^{241} + q^{242} + q^{243} + q^{244} + q^{245} + q^{246} + q^{247} + q^{248} + q^{249} + q^{250} + q^{251} + q^{252} + q^{253} + q^{254} + q^{255}$
$F_{9} = 1 + q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + q^{7} + q^{8} + q^{9} + q^{10} + q^{11} + q^{12} + q^{13} + q^{14} + q^{15} + q^{16} + q^{17} + q^{18} + q^{19} + q^{20} + q^{21} + q^{22} + q^{23} + q^{24} + q^{25} + q^{26} + q^{27} + q^{28} + q^{29} + q^{30} + q^{31} + q^{32} + q^{33} + q^{34} + q^{35} + q^{36} + q^{37} + q^{38} + q^{39} + q^{40} + q^{41} + q^{42} + q^{43} + q^{44} + q^{45} + q^{46} + q^{47} + q^{48} + q^{49} + q^{50} + q^{51} + q^{52} + q^{53} + q^{54} + q^{55} + q^{56} + q^{57} + q^{58} + q^{59} + q^{60} + q^{61} + q^{62} + q^{63} + q^{64} + q^{65} + q^{66} + q^{67} + q^{68} + q^{69} + q^{70} + q^{71} + q^{72} + q^{73} + q^{74} + q^{75} + q^{76} + q^{77} + q^{78} + q^{79} + q^{80} + q^{81} + q^{82} + q^{83} + q^{84} + q^{85} + q^{86} + q^{87} + q^{88} + q^{89} + q^{90} + q^{91} + q^{92} + q^{93} + q^{94} + q^{95} + q^{96} + q^{97} + q^{98} + q^{99} + q^{100} + q^{101} + q^{102} + q^{103} + q^{104} + q^{105} + q^{106} + q^{107} + q^{108} + q^{109} + q^{110} + q^{111} + q^{112} + q^{113} + q^{114} + q^{115} + q^{116} + q^{117} + q^{118} + q^{119} + q^{120} + q^{121} + q^{122} + q^{123} + q^{124} + q^{125} + q^{126} + q^{127} + q^{128} + q^{129} + q^{130} + q^{131} + q^{132} + q^{133} + q^{134} + q^{135} + q^{136} + q^{137} + q^{138} + q^{139} + q^{140} + q^{141} + q^{142} + q^{143} + q^{144} + q^{145} + q^{146} + q^{147} + q^{148} + q^{149} + q^{150} + q^{151} + q^{152} + q^{153} + q^{154} + q^{155} + q^{156} + q^{157} + q^{158} + q^{159} + q^{160} + q^{161} + q^{162} + q^{163} + q^{164} + q^{165} + q^{166} + q^{167} + q^{168} + q^{169} + q^{170} + q^{171} + q^{172} + q^{173} + q^{174} + q^{175} + q^{176} + q^{177} + q^{178} + q^{179} + q^{180} + q^{181} + q^{182} + q^{183} + q^{184} + q^{185} + q^{186} + q^{187} + q^{188} + q^{189} + q^{190} + q^{191} + q^{192} + q^{193} + q^{194} + q^{195} + q^{196} + q^{197} + q^{198} + q^{199} + q^{200} + q^{201} + q^{202} + q^{203} + q^{204} + q^{205} + q^{206} + q^{207} + q^{208} + q^{209} + q^{210} + q^{211} + q^{212} + q^{213} + q^{214} + q^{215} + q^{216} + q^{217} + q^{218} + q^{219} + q^{220} + q^{221} + q^{222} + q^{223} + q^{224} + q^{225} + q^{226} + q^{227} + q^{228} + q^{229} + q^{230} + q^{231} + q^{232} + q^{233} + q^{234} + q^{235} + q^{236} + q^{237} + q^{238} + q^{239} + q^{240} + q^{241} + q^{242} + q^{243} + q^{244} + q^{245} + q^{246} + q^{247} + q^{248} + q^{249} + q^{250} + q^{251} + q^{252} + q^{253} + q^{254} + q^{255} + q^{256} + q^{257} + q^{258} + q^{259} + q^{260} + q^{261} + q^{262} + q^{263} + q^{264} + q^{265} + q^{266} + q^{267} + q^{268} + q^{269} + q^{270} + q^{271} + q^{272} + q^{273} + q^{274} + q^{275} + q^{276} + q^{277} + q^{278} + q^{279} + q^{280} + q^{281} + q^{282} + q^{283} + q^{284} + q^{285} + q^{286} + q^{287} + q^{288} + q^{289} + q^{290} + q^{291} + q^{292} + q^{293} + q^{294} + q^{295} + q^{296} + q^{297} + q^{298} + q^{299} + q^{300} + q^{301} + q^{302} + q^{303} + q^{304} + q^{305} + q^{306} + q^{307} + q^{308} + q^{309} + q^{310} + q^{311} + q^{312} + q^{313} + q^{314} + q^{315} + q^{316} + q^{317} + q^{318} + q^{319} + q^{320} + q^{321} + q^{322} + q^{323} + q^{324} + q^{325} + q^{326} + q^{327} + q^{328} + q^{329} + q^{330} + q^{331} + q^{332} + q^{333} + q^{334} + q^{335} + q^{336} + q^{337} + q^{338} + q^{339} + q^{340} + q^{341} + q^{342} + q^{343} + q^{344} + q^{345} + q^{346} + q^{347} + q^{348} + q^{349} + q^{350} + q^{351} + q^{352} + q^{353} + q^{354} + q^{355} + q^{356} + q^{357} + q^{358} + q^{359} + q^{360} + q^{361} + q^{362} + q^{363} + q^{364} + q^{365} + q^{366} + q^{367} + q^{368} + q^{369} + q^{370} + q^{371} + q^{372} + q^{373} + q^{374} + q^{375} + q^{376} + q^{377} + q^{378} + q^{379} + q^{380} + q^{381} + q^{382} + q^{383} + q^{384} + q^{385} + q^{386} + q^{387} + q^{388} + q^{389} + q^{390} + q^{391} + q^{392} + q^{393} + q^{394} + q^{395} + q^{396} + q^{397} + q^{398} + q^{399} + q^{400} + q^{401} + q^{402} + q^{403} + q^{404} + q^{405} + q^{406} + q^{407} + q^{408} + q^{409} + q^{410} + q^{411} + q^{412} + q^{413} + q^{414} + q^{415} + q^{416} + q^{417} + q^{418} + q^{419} + q^{420} + q^{421} + q^{422} + q^{423} + q^{424} + q^{425} + q^{426} + q^{427} + q^{428} + q^{429} + q^{430} + q^{431} + q^{432} + q^{433} + q^{434} + q^{435} + q^{436} + q^{437} + q^{438} + q^{439} + q^{440} + q^{441} + q^{442} + q^{443} + q^{444} + q^{445} + q^{446} + q^{447} + q^{448} + q^{449} + q^{450} + q^{451} + q^{452} + q^{453} + q^{454} + q^{455} + q^{456} + q^{457} + q^{458} + q^{459} + q^{460} + q^{461} + q^{462} + q^{463} + q^{464} + q^{465} + q^{466} + q^{467} + q^{468} + q^{469} + q^{470} + q^{471} + q^{472} + q^{473} + q^{474} + q^{475} + q^{476} + q^{477} + q^{478} + q^{479} + q^{480} + q^{481} + q^{482} + q^{483} + q^{484} + q^{485} + q^{486} + q^{487} + q^{488} + q^{489} + q^{490} + q^{491} + q^{492} + q^{493} + q^{494} + q^{495} + q^{496} + q^{497} + q^{498} + q^{499} + q^{500} + q^{501} + q^{502} + q^{503} + q^{504} + q^{505} + q^{506} + q^{507} + q^{508} + q^{509} + q^{510} + q^{511}$
Description
The decimal representation of a binary word.
Code
def statistic(x):
return Integer("0b" + str(x))
Created
Nov 08, 2015 at 10:26 by Martin Rubey
Updated
Nov 08, 2015 at 10:26 by Martin Rubey
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!