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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: A062212 A272864 A121183 * A069404 A198689 A172743

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 March 25 00:06 EDT 2017. Contains 284035 sequences.