OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
FORMULA
G.f.: -81*x*(1+x)*(x^2+10*x+1)/(x-1)^5. - R. J. Mathar, May 14 2014
From Elmo R. Oliveira, Dec 10 2025: (Start)
E.g.f.: 81*x*(1 + 7*x + 6*x^2 + x^3)*exp(x).
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). (End)
MAPLE
MATHEMATICA
(3Range[0, 30])^4 (* Harvey P. Dale, Sep 19 2011 *)
PROG
(Magma) [(3*n)^4: n in [0..40]]; // Vincenzo Librandi, Sep 07 2011
(PARI) a(n)=81*n^4 \\ Charles R Greathouse IV, Dec 10 2025
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Dec 11 1996
STATUS
approved