OFFSET
1,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
FORMULA
G.f.: 81*x/(1-x)^5. - Maksym Voznyy (voznyy(AT)mail.ru), Aug 11 2009
E.g.f.: (27/8)*x*(24 + 36*x + 12*x^2 + x^3)*exp(x). - G. C. Greubel, May 17 2021
From Amiram Eldar, Aug 28 2022: (Start)
Sum_{n>=1} 1/a(n) = 4/243.
Sum_{n>=1} (-1)^(n+1)/a(n) = 32*log(2)/81 - 64/243. (End)
MAPLE
seq(binomial(n+3, 4)*3^4, n=1..27);
MATHEMATICA
With[{c=3^4}, Table[c Binomial[n+3, 4], {n, 40}]] (* Harvey P. Dale, Mar 12 2011 *)
PROG
(Magma) [3^4*Binomial(n+3, 4): n in [1..30]]; // G. C. Greubel, May 17 2021
(Sage) [3^4*binomial(n+3, 4) for n in (1..30)] # G. C. Greubel, May 17 2021
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Zerinvary Lajos, Aug 06 2008
STATUS
approved