OFFSET
0,1
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 Ilya Gutkovskiy, Jun 16 2016: (Start)
G.f.: (16 + 545*x + 1131*x^2 + 251*x^3 + x^4)/(1 - x)^5.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). (End)
From Amiram Eldar, Mar 31 2022: (Start)
Sum_{n>=0} 1/a(n) = PolyGamma(3, 2/3)/486. (End)
MATHEMATICA
Table[(3n+2)^4, {n, 0, 100}] (* Mohammad K. Azarian, Jun 15 2016 *)
LinearRecurrence[{5, -10, 10, -5, 1}, {16, 625, 4096, 14641, 38416}, 30] (* Harvey P. Dale, Aug 02 2018 *)
PROG
(Magma) [(3*n+2)^4 : n in [0..30]]; // Vincenzo Librandi, Sep 29 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved