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
From Elmo R. Oliveira, Nov 28 2025: (Start)
G.f.: 14641*x*(1 + x)*(1 + 10*x + x^2)/(1 - x)^5.
E.g.f.: 14641*x*(1 + 7*x + 6*x^2 + x^3)*exp(x).
a(n) = 14641*A000583(n).
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). (End)
MATHEMATICA
(11Range[0, 20])^4 (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {0, 14641, 234256, 1185921, 3748096}, 20] (* Harvey P. Dale, Sep 05 2023 *)
PROG
(Magma) [(11*n)^4: n in [0..30]]; // Vincenzo Librandi, Sep 02 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved