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A318289 Number of standard Young tableaux of 2n cells and height >= n. 1
1, 2, 9, 56, 441, 3952, 40161, 442248, 5288933, 67100072, 904408398, 12777826272, 189324035423, 2917525618256, 46754429476800, 774965979970096, 13279872426589125, 234395323126241080, 4258775222885983350, 79442662095373693728, 1520453631213137081776 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also number of self-inverse permutations of [2n] with longest increasing subsequence of length >= n.

LINKS

Table of n, a(n) for n=0..20.

Wikipedia, Involution (mathematics)

Wikipedia, Young tableau

FORMULA

a(n) = A182222(2n,n).

CROSSREFS

Cf. A182222.

Sequence in context: A292809 A158883 A052860 * A052840 A308380 A036243

Adjacent sequences:  A318286 A318287 A318288 * A318290 A318291 A318292

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 04 2018

STATUS

approved

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Last modified July 15 23:32 EDT 2020. Contains 335774 sequences. (Running on oeis4.)