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Matching statistic: St001915
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Mapping
St001915: Binary words ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
0 => 1
1 => 1
00 => 1
01 => 2
10 => 2
11 => 3
000 => 3
001 => 5
010 => 5
011 => 7
100 => 5
101 => 7
110 => 7
111 => 11
0000 => 11
0001 => 15
0010 => 15
0011 => 15
0100 => 15
0101 => 7
0110 => 15
0111 => 30
1000 => 15
1001 => 15
1010 => 7
1011 => 30
1100 => 15
1101 => 30
1110 => 30
1111 => 42
00000 => 42
00001 => 56
00010 => 56
00011 => 45
00100 => 56
00101 => 32
00110 => 45
00111 => 67
01000 => 56
01001 => 32
01010 => 32
01011 => 34
01100 => 45
01101 => 34
01110 => 67
01111 => 135
10000 => 56
10001 => 45
10010 => 32
10011 => 67
Description
The size of the component corresponding to a necklace in Bulgarian solitaire. A move in Bulgarian solitaire consists of removing the first column of the Ferrers diagram and inserting it as a new row. The connected components of the corresponding discrete dynamical system are indexed by necklaces in a natural way.