A017132 a(n) = (8*n + 5)^8.

390625, 815730721, 37822859361, 500246412961, 3512479453921, 16815125390625, 62259690411361, 191707312997281, 513798374428641, 1235736291547681, 2724905250390625, 5595818096650401, 10828567056280801

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Formula

G.f.: ( -390625 - 812215096*x - 30495345372*x^2 - 189174172168*x^3 - 303412512454*x^4 - 137293837704*x^5 - 15054569308*x^6 - 214299832*x^7 - 6561*x^8 ) / ( (x-1)^9 ). - R. J. Mathar, May 08 2015

Mathematica

(8*Range[0, 20]+5)^8 (* Harvey P. Dale, Sep 17 2023 *)
(* Alternative: *)
LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {390625, 815730721, 37822859361, 500246412961, 3512479453921, 16815125390625, 62259690411361, 191707312997281, 513798374428641}, 20] (* Harvey P. Dale, Sep 17 2023 *)

Prog

(Magma) [(8*n+5)^8: n in [0..20] ]; // Vincenzo Librandi, Jul 21 2011

Crossrefs

Sequence in context: A016856 A016976 A017048 * A017228 A017336 A017456

Adjacent sequences: A017129 A017130 A017131 * A017133 A017134 A017135

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved