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 (6,-15,20,-15,6,-1).
FORMULA
a(n) = n*(12+(35+13*n^2)*n^2)/60.
G.f.: x*(12*x^2+6*x^3+x^4+1+6*x)/(x-1)^6.
MAPLE
a:= n-> n*(12+(35+13*n^2)*n^2)/60:
seq(a(n), n=0..40);
MATHEMATICA
LinearRecurrence[{6, -15, 20, -15, 6, -1}, {0, 1, 12, 69, 260, 751}, 40] (* Harvey P. Dale, Sep 20 2020 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Mar 21 2012
STATUS
approved