OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
FORMULA
G.f.: 3F2(4,4,4;1,1;z).
G.f.: (1 + 54x + 405x^2 + 760x^3 + 405x^4 + 54x^5 + x^6)/(x-1)^10.
a(n) = (6 + 11n + 6n^2 + n^3)^3/216.
a(n) = A000292(n+1)^3.
Sum_{n>=0} 1/a(n) = 783/4 - 162*zeta(3). - Jaume Oliver Lafont, Jul 17 2017
Sum_{n>=0} (-1)^n/a(n) = 1296*log(2) + 405*zeta(3)/2 - 4563/4. - Amiram Eldar, Sep 20 2022
MAPLE
MATHEMATICA
Table[Binomial[n+3, n]^3, {n, 0, 30}]
PROG
(PARI) a(n) = binomial(n+3, n)^3; \\ Michel Marcus, Jul 17 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Benedict W. J. Irwin, Mar 14 2016
STATUS
approved