A016845 a(n) = (4n+3)^9.

19683, 40353607, 2357947691, 38443359375, 322687697779, 1801152661463, 7625597484987, 26439622160671, 78815638671875, 208728361158759, 502592611936843, 1119130473102767, 2334165173090451, 4605366583984375, 8662995818654939, 15633814156853823, 27206534396294947

Offset

0,1

Links

Table of n, a(n) for n=0..16.

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

Formula

From Amiram Eldar, Apr 24 2023: (Start)

a(n) = A004767(n)^9.

Sum_{n>=0} 1/a(n) = 511*zeta(9)/1024 - 277*Pi^9/16515072. (End)

Mathematica

Table[(4*n + 3)^9, {n, 0, 20}] (* Amiram Eldar, Apr 24 2023 *)

Crossrefs

Cf. A004767, A013667.

Sequence in context: A016761 A250593 A016773 * A016893 A016953 A017025

Adjacent sequences: A016842 A016843 A016844 * A016846 A016847 A016848

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved