A016845 -id:A016845 - cp's OEIS frontend

A016848 a(n) = (4*n+3)^12.

531441, 13841287201, 3138428376721, 129746337890625, 2213314919066161, 21914624432020321, 150094635296999121, 787662783788549761, 3379220508056640625, 12381557655576425121, 39959630797262576401

Offset: 0

N. J. A. Sloane

David A. Corneth, Table of n, a(n) for n = 0..9999
Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Cf. A008456.

Cf. A004767, A016838, A016839, A016840, A016841, A016842, A016843, A016844, A016845, A016846, A016847.

List([0..12], n-> (4*n+3)^12); # G. C. Greubel, Aug 29 2019

[(4*n+3)^12: n in [0..12]]; // G. C. Greubel, Aug 29 2019

seq((4*n+3)^12, n=0..12); # G. C. Greubel, Aug 29 2019

(4*Range[13]-1)^12 (* G. C. Greubel, Aug 29 2019 *)

a(n) = (4*n+3)^12 \\ David A. Corneth, Aug 28 2019

[(4*n+3)^12 for n in (0..12)] # G. C. Greubel, Aug 29 2019

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

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

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).

Cf. A013667, A016845, A017137.

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

(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 *)

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)

cp's OEIS Frontend

A016848 a(n) = (4*n+3)^12.

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