A017093 a(n) = (8*n + 2)^5.

32, 100000, 1889568, 11881376, 45435424, 130691232, 312500000, 656356768, 1252332576, 2219006624, 3707398432, 5904900000, 9039207968, 13382255776, 19254145824, 27027081632, 37129300000, 50049003168, 66338290976, 86617093024, 111577100832, 141985700000, 178689902368

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*(1 + 3119*x + 40314*x^2 + 63854*x^3 + 15349*x^4 + 243*x^5)/(x-1)^6. - R. J. Mathar, Jul 14 2016

From Amiram Eldar, Apr 24 2023: (Start)

a(n) = A017089(n)^5.

a(n) = 2^5*A016817(n).

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

Mathematica

(8Range[0, 20]+2)^5  (* Harvey P. Dale, Feb 24 2011 *)

Prog

(Magma) [(8*n+2)^5: n in [0..30]]; // Vincenzo Librandi, Jul 12 2011

Crossrefs

Cf. A013663, A016817, A017089 (8n+2), A000584 (n^5).

Sequence in context: A176030 A034245 A230566 * A159412 A201987 A217272

Adjacent sequences: A017090 A017091 A017092 * A017094 A017095 A017096

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved