OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
FORMULA
G.f.: 243*(1 + 1018*x + 10678*x^2 + 14498*x^3 + 2933*x^4 + 32*x^5)/(x-1)^6. - R. J. Mathar, Jul 14 2016
From Amiram Eldar, Oct 03 2024: (Start)
Sum_{n>=0} 1/a(n) = 2*Pi^5/(177147*sqrt(3)) + 121*zeta(5)/59049. (End)
MATHEMATICA
(9*Range[0, 20]+3)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {243, 248832, 4084101, 24300000, 90224199, 254803968}, 20] (* Harvey P. Dale, Jul 27 2019 *)
PROG
(Magma) [(9*n+3)^5: n in [0..30]]; // Vincenzo Librandi, Jul 23 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved