A017141 a(n) = (8*n+6)^5.

7776, 537824, 5153632, 24300000, 79235168, 205962976, 459165024, 916132832, 1680700000, 2887174368, 4704270176, 7339040224, 11040808032, 16105100000, 22877577568, 31757969376, 43204003424, 57735339232, 75937500000, 98465804768, 126049300576, 159494694624, 199690286432

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.: 32*(x^5+3119*x^4+40314*x^3+63854*x^2+15349*x+243)/(x-1)^6. - Colin Barker, Sep 17 2012

From Amiram Eldar, Apr 26 2023: (Start)

a(n) = A017137(n)^5.

a(n) = 2^5*A016841(n).

Sum_{n>=0} 1/a(n) = 31*zeta(5)/2048 - 5*Pi^5/98304. (End)

Mathematica

Table[(8*n + 6)^5, {n, 0, 30}] (* Amiram Eldar, Apr 26 2023 *)

Prog

(Magma) [(8*n+6)^5: n in [0..30]]; // Vincenzo Librandi, Jul 22 2011

Crossrefs

Cf. A013663, A016841, A017137.

Sequence in context: A016913 A017057 A183619 * A017237 A223274 A017345

Adjacent sequences: A017138 A017139 A017140 * A017142 A017143 A017144

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved