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 A217327 Number of self-inverse permutations in S_n with longest increasing subsequence of length 7. 2
 1, 7, 55, 319, 1904, 10275, 56135, 294386, 1556323, 8086433, 42298721, 219795160, 1149139210, 5999688692, 31506046052, 165664633982, 875886376212, 4643488263933, 24746018418741, 132328997879066, 711142850556217, 3836134976520394, 20791024498584110 (list; graph; refs; listen; history; text; internal format)
 OFFSET 7,2 COMMENTS Also the number of Young tableaux with n cells and 7 rows. LINKS Alois P. Heinz, Table of n, a(n) for n = 7..400 FORMULA a(n) = A182172(n,7)-A182172(n,6) = A007578(n)-A007579(n). EXAMPLE a(7) = 1: 1234567. a(8) = 7: 12345687, 12345768, 12346578, 12354678, 12435678, 13245678, 21345678. CROSSREFS Column k=7 of A047884. Cf. A007578, A007579, A182172. Sequence in context: A272864 A121183 A291891 * A069404 A198689 A320091 Adjacent sequences:  A217324 A217325 A217326 * A217328 A217329 A217330 KEYWORD nonn AUTHOR Alois P. Heinz, Sep 30 2012 STATUS approved

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Last modified October 18 03:19 EDT 2019. Contains 328135 sequences. (Running on oeis4.)