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A342862
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Irregular table read by rows: T(n,k) is the number of permutations in S_n that have exactly k occurrences of the pattern 2143. 0 <= k <= A028723(n + 1).
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6
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1, 1, 2, 6, 23, 1, 103, 11, 4, 2, 513, 88, 53, 33, 18, 8, 6, 0, 0, 1, 2761, 642, 495, 340, 262, 160, 172, 65, 58, 39, 14, 6, 18, 0, 0, 6, 0, 0, 2, 15767, 4567, 4099, 3007, 2692, 1832, 2171, 1152, 1291, 968, 728, 457, 566, 174, 176, 221, 129, 14, 122, 29, 38, 52, 8, 0, 32, 9, 0, 10, 0, 0, 8, 0, 0, 0, 0, 0, 1
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OFFSET
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0,3
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COMMENTS
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Equivalently the table for the pattern 3412.
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LINKS
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EXAMPLE
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Triangle begins:
n\k| 0 1 2 3 4 5 6
---+-------------------------------------------------------------------
0 | 1;
1 | 1;
2 | 2;
3 | 6;
4 | 23, 1;
5 | 103, 11, 4, 2;
6 | 513, 88, 53, 33, 18, 8, 6, ...
7 | 2761, 642, 495, 340, 262, 160, 172, ...
8 | 15767, 4567, 4099, 3007, 2692, 1832, 2171, ...
9 | 94359, 32443, 32345, 25049, 24492, 17732, 21841, ...
10 | 586590, 232189, 250371, 203452, 211291, 160561, 201524, ...
11 | 3763290, 1679295, 1926145, 1635315, 1776655, 1409304, 1787218, ...
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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