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

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

Offset

0,1

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).

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)

Mathematica

(6*Range[0, 15] + 5)^9 (* Paolo Xausa, Dec 10 2025 *)
LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {1953125, 2357947691, 118587876497, 1801152661463, 14507145975869, 78815638671875, 327381934393961, 1119130473102767, 3299763591802133, 8662995818654939}, 20] (* Harvey P. Dale, Feb 01 2026 *)

Prog

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

Crossrefs

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

Subsequence of A001017.

Sequence in context: A377162 A016821 A016857 * A017049 A017133 A017229

Adjacent sequences: A016974 A016975 A016976 * A016978 A016979 A016980

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved