A016845 - OEIS

A016845

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

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

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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 *)