A016977 a(n) = (6*n + 5)^9.

1953125, 2357947691, 118587876497, 1801152661463, 14507145975869, 78815638671875, 327381934393961, 1119130473102767, 3299763591802133, 8662995818654939, 20711912837890625, 45848500718449031, 95151694449171437, 186940255267540403, 350356403707485209, 630249409724609375

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Crossrefs

Cf. A016969, A016970, A016971, A016972, A016973, A016974, A016975, A016976.

Subsequence of A001017.

Programs

Magma

[(6*n+5)^9: n in [0..35]]; // Vincenzo Librandi, May 13 2011

Formula

From Amiram Eldar, Apr 01 2022: (Start)

a(n) = A016969(n)^9 = A016971(n)^3.

Sum_{n>=0} 1/a(n) = 5028751*zeta(9)/10077696 - 15371*Pi^9/(529079040*sqrt(3)). (End)