OFFSET
0,3
COMMENTS
a(n) is the number of semistandard Young tableaux over all partitions of 6 with maximal element <= n.
LINKS
Bruno Berselli, Table of n, a(n) for n = 0..1000
Wikipedia, Young tableau
Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
FORMULA
a(n) = n^2*(76+(85+19*n^2)*n^2)/180.
G.f.: -x*(x+1)*(x^4+8*x^3+20*x^2+8*x+1)/(x-1)^7.
MAPLE
a:= n-> n^2*(76+(85+19*n^2)*n^2)/180:
seq(a(n), n=0..40);
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Mar 21 2012
STATUS
approved