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A217328 Number of self-inverse permutations in S_n with longest increasing subsequence of length 8. 2
1, 8, 71, 461, 3057, 18225, 109446, 628652, 3628517, 20538209, 116808172, 659078098, 3737763884, 21153403644, 120354760098, 685455514294, 3925104616303, 22535893275064, 130089736567064, 753604985013128, 4388755545268226, 25660332309744370, 150802834643569274 (list; graph; refs; listen; history; text; internal format)
OFFSET
8,2
COMMENTS
Also the number of Young tableaux with n cells and 8 rows.
LINKS
FORMULA
a(n) = A182172(n,8)-A182172(n,7) = A007580(n)-A007578(n).
EXAMPLE
a(8) = 1: 12345678.
a(9) = 8: 123456798, 123456879, 123457689, 123465789, 123546789, 124356789, 132456789, 213456789.
CROSSREFS
Column k=8 of A047884.
Sequence in context: A043086 A003364 A291892 * A193102 A038145 A198856
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 30 2012
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)