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A215551
a(n) = binomial(7*n,n)*(5*n+1)/(6*n+1).
2
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
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
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 15 2012
STATUS
approved