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Your data matches 2 different statistics following compositions of up to 3 maps.
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Matching statistic: St000198
St000198: Binary trees ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[.,.]
=> 2
[.,[.,.]]
=> 10
[[.,.],.]
=> 12
[.,[.,[.,.]]]
=> 42
[.,[[.,.],.]]
=> 44
[[.,.],[.,.]]
=> 50
[[.,[.,.]],.]
=> 52
[[[.,.],.],.]
=> 56
[.,[.,[.,[.,.]]]]
=> 170
[.,[.,[[.,.],.]]]
=> 172
[.,[[.,.],[.,.]]]
=> 178
[.,[[.,[.,.]],.]]
=> 180
[.,[[[.,.],.],.]]
=> 184
[[.,.],[.,[.,.]]]
=> 202
[[.,.],[[.,.],.]]
=> 204
[[.,[.,.]],[.,.]]
=> 210
[[[.,.],.],[.,.]]
=> 226
[[.,[.,[.,.]]],.]
=> 212
[[.,[[.,.],.]],.]
=> 216
[[[.,.],[.,.]],.]
=> 228
[[[.,[.,.]],.],.]
=> 232
[[[[.,.],.],.],.]
=> 240
[.,[.,[.,[.,[.,.]]]]]
=> 682
[.,[.,[.,[[.,.],.]]]]
=> 684
[.,[.,[[.,.],[.,.]]]]
=> 690
[.,[.,[[.,[.,.]],.]]]
=> 692
[.,[.,[[[.,.],.],.]]]
=> 696
[.,[[.,.],[.,[.,.]]]]
=> 714
[.,[[.,.],[[.,.],.]]]
=> 716
[.,[[.,[.,.]],[.,.]]]
=> 722
[.,[[[.,.],.],[.,.]]]
=> 738
[.,[[.,[.,[.,.]]],.]]
=> 724
[.,[[.,[[.,.],.]],.]]
=> 728
[.,[[[.,.],[.,.]],.]]
=> 740
[.,[[[.,[.,.]],.],.]]
=> 744
[.,[[[[.,.],.],.],.]]
=> 752
[[.,.],[.,[.,[.,.]]]]
=> 810
[[.,.],[.,[[.,.],.]]]
=> 812
[[.,.],[[.,.],[.,.]]]
=> 818
[[.,.],[[.,[.,.]],.]]
=> 820
[[.,.],[[[.,.],.],.]]
=> 824
[[.,[.,.]],[.,[.,.]]]
=> 842
[[.,[.,.]],[[.,.],.]]
=> 844
[[[.,.],.],[.,[.,.]]]
=> 906
[[[.,.],.],[[.,.],.]]
=> 908
[[.,[.,[.,.]]],[.,.]]
=> 850
[[.,[[.,.],.]],[.,.]]
=> 866
[[[.,.],[.,.]],[.,.]]
=> 914
[[[.,[.,.]],.],[.,.]]
=> 930
[[[[.,.],.],.],[.,.]]
=> 962
Description
A decimal representation of a binary tree as a code word.
Code word constructed by mapping a binary tree to its corresponding set of matching parentheses and then replacing every '''''(''''' with a $1$ and every ''''')''''' with a $0$. We then convert the resulting binary code word to a decimal number.
Matching statistic: St000289
Mp00020: Binary trees —to Tamari-corresponding Dyck path⟶ Dyck paths
Mp00093: Dyck paths —to binary word⟶ Binary words
St000289: Binary words ⟶ ℤResult quality: 4% ●values known / values provided: 4%●distinct values known / distinct values provided: 4%
Mp00093: Dyck paths —to binary word⟶ Binary words
St000289: Binary words ⟶ ℤResult quality: 4% ●values known / values provided: 4%●distinct values known / distinct values provided: 4%
Values
[.,.]
=> [1,0]
=> 10 => 2
[.,[.,.]]
=> [1,1,0,0]
=> 1100 => 12
[[.,.],.]
=> [1,0,1,0]
=> 1010 => 10
[.,[.,[.,.]]]
=> [1,1,1,0,0,0]
=> 111000 => 56
[.,[[.,.],.]]
=> [1,1,0,1,0,0]
=> 110100 => 52
[[.,.],[.,.]]
=> [1,0,1,1,0,0]
=> 101100 => 44
[[.,[.,.]],.]
=> [1,1,0,0,1,0]
=> 110010 => 50
[[[.,.],.],.]
=> [1,0,1,0,1,0]
=> 101010 => 42
[.,[.,[.,[.,.]]]]
=> [1,1,1,1,0,0,0,0]
=> 11110000 => 240
[.,[.,[[.,.],.]]]
=> [1,1,1,0,1,0,0,0]
=> 11101000 => 232
[.,[[.,.],[.,.]]]
=> [1,1,0,1,1,0,0,0]
=> 11011000 => 216
[.,[[.,[.,.]],.]]
=> [1,1,1,0,0,1,0,0]
=> 11100100 => 228
[.,[[[.,.],.],.]]
=> [1,1,0,1,0,1,0,0]
=> 11010100 => 212
[[.,.],[.,[.,.]]]
=> [1,0,1,1,1,0,0,0]
=> 10111000 => 184
[[.,.],[[.,.],.]]
=> [1,0,1,1,0,1,0,0]
=> 10110100 => 180
[[.,[.,.]],[.,.]]
=> [1,1,0,0,1,1,0,0]
=> 11001100 => 204
[[[.,.],.],[.,.]]
=> [1,0,1,0,1,1,0,0]
=> 10101100 => 172
[[.,[.,[.,.]]],.]
=> [1,1,1,0,0,0,1,0]
=> 11100010 => 226
[[.,[[.,.],.]],.]
=> [1,1,0,1,0,0,1,0]
=> 11010010 => 210
[[[.,.],[.,.]],.]
=> [1,0,1,1,0,0,1,0]
=> 10110010 => 178
[[[.,[.,.]],.],.]
=> [1,1,0,0,1,0,1,0]
=> 11001010 => 202
[[[[.,.],.],.],.]
=> [1,0,1,0,1,0,1,0]
=> 10101010 => 170
[.,[.,[.,[.,[.,.]]]]]
=> [1,1,1,1,1,0,0,0,0,0]
=> 1111100000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[.,[.,[[.,.],.]]]]
=> [1,1,1,1,0,1,0,0,0,0]
=> 1111010000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[.,[[.,.],[.,.]]]]
=> [1,1,1,0,1,1,0,0,0,0]
=> 1110110000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[.,[[.,[.,.]],.]]]
=> [1,1,1,1,0,0,1,0,0,0]
=> 1111001000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[.,[[[.,.],.],.]]]
=> [1,1,1,0,1,0,1,0,0,0]
=> 1110101000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[[.,.],[.,[.,.]]]]
=> [1,1,0,1,1,1,0,0,0,0]
=> 1101110000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[[.,.],[[.,.],.]]]
=> [1,1,0,1,1,0,1,0,0,0]
=> 1101101000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[[.,[.,.]],[.,.]]]
=> [1,1,1,0,0,1,1,0,0,0]
=> 1110011000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[[[.,.],.],[.,.]]]
=> [1,1,0,1,0,1,1,0,0,0]
=> 1101011000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[[.,[.,[.,.]]],.]]
=> [1,1,1,1,0,0,0,1,0,0]
=> 1111000100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[[.,[[.,.],.]],.]]
=> [1,1,1,0,1,0,0,1,0,0]
=> 1110100100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[[[.,.],[.,.]],.]]
=> [1,1,0,1,1,0,0,1,0,0]
=> 1101100100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[[[.,[.,.]],.],.]]
=> [1,1,1,0,0,1,0,1,0,0]
=> 1110010100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[[[[.,.],.],.],.]]
=> [1,1,0,1,0,1,0,1,0,0]
=> 1101010100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,.],[.,[.,[.,.]]]]
=> [1,0,1,1,1,1,0,0,0,0]
=> 1011110000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,.],[.,[[.,.],.]]]
=> [1,0,1,1,1,0,1,0,0,0]
=> 1011101000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,.],[[.,.],[.,.]]]
=> [1,0,1,1,0,1,1,0,0,0]
=> 1011011000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,.],[[.,[.,.]],.]]
=> [1,0,1,1,1,0,0,1,0,0]
=> 1011100100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,.],[[[.,.],.],.]]
=> [1,0,1,1,0,1,0,1,0,0]
=> 1011010100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,[.,.]],[.,[.,.]]]
=> [1,1,0,0,1,1,1,0,0,0]
=> 1100111000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,[.,.]],[[.,.],.]]
=> [1,1,0,0,1,1,0,1,0,0]
=> 1100110100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[.,.],.],[.,[.,.]]]
=> [1,0,1,0,1,1,1,0,0,0]
=> 1010111000 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[.,.],.],[[.,.],.]]
=> [1,0,1,0,1,1,0,1,0,0]
=> 1010110100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,[.,[.,.]]],[.,.]]
=> [1,1,1,0,0,0,1,1,0,0]
=> 1110001100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,[[.,.],.]],[.,.]]
=> [1,1,0,1,0,0,1,1,0,0]
=> 1101001100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[.,.],[.,.]],[.,.]]
=> [1,0,1,1,0,0,1,1,0,0]
=> 1011001100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[.,[.,.]],.],[.,.]]
=> [1,1,0,0,1,0,1,1,0,0]
=> 1100101100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[[.,.],.],.],[.,.]]
=> [1,0,1,0,1,0,1,1,0,0]
=> 1010101100 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,[.,[.,[.,.]]]],.]
=> [1,1,1,1,0,0,0,0,1,0]
=> 1111000010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,[.,[[.,.],.]]],.]
=> [1,1,1,0,1,0,0,0,1,0]
=> 1110100010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,[[.,.],[.,.]]],.]
=> [1,1,0,1,1,0,0,0,1,0]
=> 1101100010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,[[.,[.,.]],.]],.]
=> [1,1,1,0,0,1,0,0,1,0]
=> 1110010010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[.,[[[.,.],.],.]],.]
=> [1,1,0,1,0,1,0,0,1,0]
=> 1101010010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[.,.],[.,[.,.]]],.]
=> [1,0,1,1,1,0,0,0,1,0]
=> 1011100010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[.,.],[[.,.],.]],.]
=> [1,0,1,1,0,1,0,0,1,0]
=> 1011010010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[.,[.,.]],[.,.]],.]
=> [1,1,0,0,1,1,0,0,1,0]
=> 1100110010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[[.,.],.],[.,.]],.]
=> [1,0,1,0,1,1,0,0,1,0]
=> 1010110010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[.,[.,[.,.]]],.],.]
=> [1,1,1,0,0,0,1,0,1,0]
=> 1110001010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[.,[[.,.],.]],.],.]
=> [1,1,0,1,0,0,1,0,1,0]
=> 1101001010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[[.,.],[.,.]],.],.]
=> [1,0,1,1,0,0,1,0,1,0]
=> 1011001010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[[.,[.,.]],.],.],.]
=> [1,1,0,0,1,0,1,0,1,0]
=> 1100101010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[[[[[.,.],.],.],.],.]
=> [1,0,1,0,1,0,1,0,1,0]
=> 1010101010 => ? ∊ {682,684,690,692,696,714,716,722,724,728,738,740,744,752,810,812,818,820,824,842,844,850,852,856,866,868,872,880,906,908,914,916,920,930,932,936,944,962,964,968,976,992}
[.,[.,[.,[.,[.,[.,.]]]]]]
=> [1,1,1,1,1,1,0,0,0,0,0,0]
=> 111111000000 => ? ∊ {2730,2732,2738,2740,2744,2762,2764,2770,2772,2776,2786,2788,2792,2800,2858,2860,2866,2868,2872,2890,2892,2898,2900,2904,2914,2916,2920,2928,2954,2956,2962,2964,2968,2978,2980,2984,2992,3010,3012,3016,3024,3040,3242,3244,3250,3252,3256,3274,3276,3282,3284,3288,3298,3300,3304,3312,3370,3372,3378,3380,3384,3402,3404,3410,3412,3416,3426,3428,3432,3440,3466,3468,3474,3476,3480,3490,3492,3496,3504,3522,3524,3528,3536,3552,3626,3628,3634,3636,3640,3658,3660,3666,3668,3672,3682,3684,3688,3696,3722,3724,3730,3732,3736,3746,3748,3752,3760,3778,3780,3784,3792,3808,3850,3852,3858,3860,3864,3874,3876,3880,3888,3906,3908,3912,3920,3936,3970,3972,3976,3984,4000,4032}
[.,[.,[.,[.,[[.,.],.]]]]]
=> [1,1,1,1,1,0,1,0,0,0,0,0]
=> 111110100000 => ? ∊ {2730,2732,2738,2740,2744,2762,2764,2770,2772,2776,2786,2788,2792,2800,2858,2860,2866,2868,2872,2890,2892,2898,2900,2904,2914,2916,2920,2928,2954,2956,2962,2964,2968,2978,2980,2984,2992,3010,3012,3016,3024,3040,3242,3244,3250,3252,3256,3274,3276,3282,3284,3288,3298,3300,3304,3312,3370,3372,3378,3380,3384,3402,3404,3410,3412,3416,3426,3428,3432,3440,3466,3468,3474,3476,3480,3490,3492,3496,3504,3522,3524,3528,3536,3552,3626,3628,3634,3636,3640,3658,3660,3666,3668,3672,3682,3684,3688,3696,3722,3724,3730,3732,3736,3746,3748,3752,3760,3778,3780,3784,3792,3808,3850,3852,3858,3860,3864,3874,3876,3880,3888,3906,3908,3912,3920,3936,3970,3972,3976,3984,4000,4032}
[.,[.,[.,[[.,.],[.,.]]]]]
=> [1,1,1,1,0,1,1,0,0,0,0,0]
=> 111101100000 => ? ∊ {2730,2732,2738,2740,2744,2762,2764,2770,2772,2776,2786,2788,2792,2800,2858,2860,2866,2868,2872,2890,2892,2898,2900,2904,2914,2916,2920,2928,2954,2956,2962,2964,2968,2978,2980,2984,2992,3010,3012,3016,3024,3040,3242,3244,3250,3252,3256,3274,3276,3282,3284,3288,3298,3300,3304,3312,3370,3372,3378,3380,3384,3402,3404,3410,3412,3416,3426,3428,3432,3440,3466,3468,3474,3476,3480,3490,3492,3496,3504,3522,3524,3528,3536,3552,3626,3628,3634,3636,3640,3658,3660,3666,3668,3672,3682,3684,3688,3696,3722,3724,3730,3732,3736,3746,3748,3752,3760,3778,3780,3784,3792,3808,3850,3852,3858,3860,3864,3874,3876,3880,3888,3906,3908,3912,3920,3936,3970,3972,3976,3984,4000,4032}
[.,[.,[.,[[.,[.,.]],.]]]]
=> [1,1,1,1,1,0,0,1,0,0,0,0]
=> 111110010000 => ? ∊ {2730,2732,2738,2740,2744,2762,2764,2770,2772,2776,2786,2788,2792,2800,2858,2860,2866,2868,2872,2890,2892,2898,2900,2904,2914,2916,2920,2928,2954,2956,2962,2964,2968,2978,2980,2984,2992,3010,3012,3016,3024,3040,3242,3244,3250,3252,3256,3274,3276,3282,3284,3288,3298,3300,3304,3312,3370,3372,3378,3380,3384,3402,3404,3410,3412,3416,3426,3428,3432,3440,3466,3468,3474,3476,3480,3490,3492,3496,3504,3522,3524,3528,3536,3552,3626,3628,3634,3636,3640,3658,3660,3666,3668,3672,3682,3684,3688,3696,3722,3724,3730,3732,3736,3746,3748,3752,3760,3778,3780,3784,3792,3808,3850,3852,3858,3860,3864,3874,3876,3880,3888,3906,3908,3912,3920,3936,3970,3972,3976,3984,4000,4032}
[.,[.,[.,[[[.,.],.],.]]]]
=> [1,1,1,1,0,1,0,1,0,0,0,0]
=> 111101010000 => ? ∊ {2730,2732,2738,2740,2744,2762,2764,2770,2772,2776,2786,2788,2792,2800,2858,2860,2866,2868,2872,2890,2892,2898,2900,2904,2914,2916,2920,2928,2954,2956,2962,2964,2968,2978,2980,2984,2992,3010,3012,3016,3024,3040,3242,3244,3250,3252,3256,3274,3276,3282,3284,3288,3298,3300,3304,3312,3370,3372,3378,3380,3384,3402,3404,3410,3412,3416,3426,3428,3432,3440,3466,3468,3474,3476,3480,3490,3492,3496,3504,3522,3524,3528,3536,3552,3626,3628,3634,3636,3640,3658,3660,3666,3668,3672,3682,3684,3688,3696,3722,3724,3730,3732,3736,3746,3748,3752,3760,3778,3780,3784,3792,3808,3850,3852,3858,3860,3864,3874,3876,3880,3888,3906,3908,3912,3920,3936,3970,3972,3976,3984,4000,4032}
[.,[.,[[.,.],[.,[.,.]]]]]
=> [1,1,1,0,1,1,1,0,0,0,0,0]
=> 111011100000 => ? ∊ {2730,2732,2738,2740,2744,2762,2764,2770,2772,2776,2786,2788,2792,2800,2858,2860,2866,2868,2872,2890,2892,2898,2900,2904,2914,2916,2920,2928,2954,2956,2962,2964,2968,2978,2980,2984,2992,3010,3012,3016,3024,3040,3242,3244,3250,3252,3256,3274,3276,3282,3284,3288,3298,3300,3304,3312,3370,3372,3378,3380,3384,3402,3404,3410,3412,3416,3426,3428,3432,3440,3466,3468,3474,3476,3480,3490,3492,3496,3504,3522,3524,3528,3536,3552,3626,3628,3634,3636,3640,3658,3660,3666,3668,3672,3682,3684,3688,3696,3722,3724,3730,3732,3736,3746,3748,3752,3760,3778,3780,3784,3792,3808,3850,3852,3858,3860,3864,3874,3876,3880,3888,3906,3908,3912,3920,3936,3970,3972,3976,3984,4000,4032}
[.,[.,[[.,.],[[.,.],.]]]]
=> [1,1,1,0,1,1,0,1,0,0,0,0]
=> 111011010000 => ? ∊ {2730,2732,2738,2740,2744,2762,2764,2770,2772,2776,2786,2788,2792,2800,2858,2860,2866,2868,2872,2890,2892,2898,2900,2904,2914,2916,2920,2928,2954,2956,2962,2964,2968,2978,2980,2984,2992,3010,3012,3016,3024,3040,3242,3244,3250,3252,3256,3274,3276,3282,3284,3288,3298,3300,3304,3312,3370,3372,3378,3380,3384,3402,3404,3410,3412,3416,3426,3428,3432,3440,3466,3468,3474,3476,3480,3490,3492,3496,3504,3522,3524,3528,3536,3552,3626,3628,3634,3636,3640,3658,3660,3666,3668,3672,3682,3684,3688,3696,3722,3724,3730,3732,3736,3746,3748,3752,3760,3778,3780,3784,3792,3808,3850,3852,3858,3860,3864,3874,3876,3880,3888,3906,3908,3912,3920,3936,3970,3972,3976,3984,4000,4032}
[.,[.,[[.,[.,.]],[.,.]]]]
=> [1,1,1,1,0,0,1,1,0,0,0,0]
=> 111100110000 => ? ∊ {2730,2732,2738,2740,2744,2762,2764,2770,2772,2776,2786,2788,2792,2800,2858,2860,2866,2868,2872,2890,2892,2898,2900,2904,2914,2916,2920,2928,2954,2956,2962,2964,2968,2978,2980,2984,2992,3010,3012,3016,3024,3040,3242,3244,3250,3252,3256,3274,3276,3282,3284,3288,3298,3300,3304,3312,3370,3372,3378,3380,3384,3402,3404,3410,3412,3416,3426,3428,3432,3440,3466,3468,3474,3476,3480,3490,3492,3496,3504,3522,3524,3528,3536,3552,3626,3628,3634,3636,3640,3658,3660,3666,3668,3672,3682,3684,3688,3696,3722,3724,3730,3732,3736,3746,3748,3752,3760,3778,3780,3784,3792,3808,3850,3852,3858,3860,3864,3874,3876,3880,3888,3906,3908,3912,3920,3936,3970,3972,3976,3984,4000,4032}
Description
The decimal representation of a binary word.
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