A016932 a(n) = (6*n + 1)^12.

1, 13841287201, 23298085122481, 2213314919066161, 59604644775390625, 787662783788549761, 6582952005840035281, 39959630797262576401, 191581231380566414401, 766217865410400390625, 2654348974297586158321, 8182718904632857144561, 22902048046490258711521

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

Formula

From Amiram Eldar, Mar 28 2022: (Start)

a(n) = A016921(n)^12 = A016922(n)^6 = A016923(n)^4 = A016924(n)^3 = A016926(n)^2.

Sum_{n>=0} 1/a(n) = PolyGamma(11, 1/6)/86890185149644800. (End)

Mathematica

Table[(6*n + 1)^12, {n, 0, 12}] (* Amiram Eldar, Mar 28 2022 *)

Prog

(Magma) [(6*n+1)^12: n in [0..20]]; // Vincenzo Librandi, May 04 2011

Crossrefs

Cf. A016921, A016922, A016923, A016924, A016925, A016926, A016927, A016928, A016929, A016930, A016931.

Sequence in context: A059122 A102567 A371953 * A016992 A017160 A017256

Adjacent sequences: A016929 A016930 A016931 * A016933 A016934 A016935

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved