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
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 15 2012
STATUS
approved