OFFSET
0,2
COMMENTS
Number of standard Young tableaux of shape [7n,n].
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..235
Wikipedia, Young tableau
FORMULA
a(n) = C(8*n,n)*(6*n+1)/(7*n+1).
a(n) = [x^n] ((1 - sqrt(1 - 4*x))/(2*x))^(6*n+1). - Ilya Gutkovskiy, Nov 01 2017
MAPLE
a:= n-> binomial(8*n, n)*(6*n+1)/(7*n+1):
seq(a(n), n=0..20);
MATHEMATICA
Table[Binomial[8n, n] (6n+1)/(7n+1), {n, 0, 20}] (* Harvey P. Dale, Mar 30 2014 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 15 2012
STATUS
approved