A215551 a(n) = binomial(7*n,n)*(5*n+1)/(6*n+1).

1, 6, 77, 1120, 17199, 272272, 4395118, 71916768, 1188576675, 19794795118, 331670995656, 5584693695280, 94418718611490, 1601780734932840, 27253077978559384, 464859662065426880, 7946606112855555915, 136106890528701061242, 2335187812028912966125

Offset

0,2

Comments

Number of standard Young tableaux of shape [6n,n].

Links

Alois P. Heinz, Table of n, a(n) for n = 0..250

Wikipedia, Young tableau

Formula

a(n) = C(7*n,n)*(5*n+1)/(6*n+1).

a(n) = [x^n] ((1 - sqrt(1 - 4*x))/(2*x))^(5*n+1). - Ilya Gutkovskiy, Nov 01 2017

Maple

a:= n-> binomial(7*n, n)*(5*n+1)/(6*n+1):
seq(a(n), n=0..20);

Mathematica

Table[Binomial[7n, n] (5n+1)/(6n+1), {n, 0, 30}] (* Harvey P. Dale, Apr 30 2022 *)

Crossrefs

Column k=6 of A214776.

Sequence in context: A278365 A154642 A282783 * A154645 A299434 A355764

Adjacent sequences: A215548 A215549 A215550 * A215552 A215553 A215554

Keyword

nonn

Author

Alois P. Heinz, Aug 15 2012

Status

approved