A218262 Number of standard Young tableaux of n cells and height >= 10.

1, 11, 121, 1001, 8086, 59228, 426673, 2946593, 20161558, 135303408, 904408398, 5995379358, 39727129830, 262629161094, 1739604051411, 11535387587595, 76763703224070, 512448824337780, 3436760740882050, 23151339236295810, 156789753069685500, 1067435349046248600

Offset: 10

Author

Alois P. Heinz, Oct 24 2012

Keywords

• nonn

Comments

Also number of self-inverse permutations in S_n with longest increasing subsequence of length >= 10.

Links

• Alois P. Heinz, Table of n, a(n) for n = 10..300
• Wikipedia, Involution (mathematics)
• Wikipedia, Young tableau

Crossrefs

Column k=10 of A182222.

Cf. A000085, A212915, A182172.

Formula

a(n) = A000085(n) - A212915(n) = A182172(n,n) - A182172(n,9).