OFFSET
0,3
LINKS
Bruno Berselli, Table of n, a(n) for n = 0..1000
Wikipedia, Young tableau
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
FORMULA
a(n) = n^2*(n^2+3)*(1124+(1205+191*n^2)*n^2)/10080.
G.f.: -x*(x+1)*(x^6+15*x^5+90*x^4+170*x^3+90*x^2+15*x+1)/(x-1)^9.
MAPLE
a:= n-> n^2*(n^2+3)*(1124+(1205+191*n^2)*n^2)/10080:
seq(a(n), n=0..40);
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Mar 21 2012
STATUS
approved