OFFSET
0,3
LINKS
N. J. A. Sloane, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
FORMULA
a(n) = (n*(1 + n)*(2 + n)*(3 + n)*(2 + n^2)*(12 + n*(1 + n)*(2 + n)))/1296.
G.f.: x*(1+10*x+65*x^2+120*x^3+80*x^4+4*x^5)/(1-x)^10. - Colin Barker, Apr 30 2012.
MAPLE
a:= (n-> binomial(n+2, 3))@@2:
seq(a(n), n=0..29); # Alois P. Heinz, Mar 11 2024
MATHEMATICA
Table[(n (1 + n) (2 + n) (3 + n) (2 + n^2) (12 + n (1 + n) (2 + n)))/1296, {n, 0, 20}]
PROG
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Artur Jasinski, May 14 2008
STATUS
approved