A017145 a(n) = (8*n+6)^9.

10077696, 20661046784, 1207269217792, 19683000000000, 165216101262848, 922190162669056, 3904305912313344, 13537086546263552, 40353607000000000, 106868920913284608, 257327417311663616, 572994802228616704, 1195092568622310912, 2357947691000000000, 4435453859151328768

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Formula

a(n) = 512*A016845(n). - R. J. Mathar, Aug 26 2015

From Amiram Eldar, Apr 26 2023: (Start)

a(n) = A017137(n)^9.

Sum_{n>=0} 1/a(n) = 511*zeta(9)/524288 - 277*Pi^9/8455716864. (End)

Mathematica

(8*Range[0, 20]+6)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {10077696, 20661046784, 1207269217792, 19683000000000, 165216101262848, 922190162669056, 3904305912313344, 13537086546263552, 40353607000000000, 106868920913284608}, 20] (* Harvey P. Dale, Jun 04 2016 *)

Prog

(Magma) [(8*n+6)^9: n in [0..20]]; // Vincenzo Librandi, Jul 21 2011

Crossrefs

Cf. A013667, A016845, A017137.

Sequence in context: A016869 A016917 A017061 * A017241 A017349 A017469

Adjacent sequences: A017142 A017143 A017144 * A017146 A017147 A017148

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved