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A217326 Number of self-inverse permutations in S_n with longest increasing subsequence of length 6. 2
1, 6, 41, 209, 1106, 5323, 26069, 122901, 585922, 2747977, 13000269, 61088173, 289186846, 1366147708, 6496681304, 30905464864, 147912712795, 709073550307, 3418258506885, 16517431269189, 80230551304034, 390774361811783, 1912602871119956, 9388456361080840 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,2

COMMENTS

Also the number of Young tableaux with n cells and 6 rows.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..400

FORMULA

a(n) = A182172(n,6)-A182172(n,5) = A007579(n)-A049401(n).

EXAMPLE

a(6) = 1: 123456.

a(7) = 6: 1234576, 1234657, 1235467, 1243567, 1324567, 2134567.

CROSSREFS

Column k=6 of A047884.

Cf. A007579, A049401, A182172.

Sequence in context: A043069 A257602 A135232 * A196433 A197196 A198795

Adjacent sequences:  A217323 A217324 A217325 * A217327 A217328 A217329

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 30 2012

STATUS

approved

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Last modified May 23 01:01 EDT 2017. Contains 286908 sequences.