A016956 a(n) = (6*n + 3)^12.

531441, 282429536481, 129746337890625, 7355827511386641, 150094635296999121, 1667889514952984961, 12381557655576425121, 68952523554931640625, 309629344375621415601, 1176246293903439668001, 3909188328478827879681, 11646329922777311412561, 31676352024078369140625

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..2000
• Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Crossrefs

Cf. A016764, A016945, A016946, A016947, A016948, A016949, A016950, A016951, A016952, A016953, A016954, A016955.

Subsequence of A008456.

Programs

Magma

[(6*n+3)^12: n in [0..20]]; // Vincenzo Librandi, May 06 2011

Mathematica

(6*Range[0,20]+3)^12 (* Harvey P. Dale, Jan 23 2013 *)

Formula

From Amiram Eldar, Mar 31 2022: (Start)

a(n) = A016945(n)^12 = A016946(n)^6 = A016947(n)^4 = A016948(n)^3 = A016950(n)^2..

a(n) = 3^12*A016764(n).

Sum_{n>=0} 1/a(n) = 691*Pi^12/339414785740800. (End)