A016968 a(n) = (6*n + 4)^12.

16777216, 1000000000000, 281474976710656, 12855002631049216, 232218265089212416, 2386420683693101056, 16777216000000000000, 89762301673555234816, 390877006486250192896, 1449225352009601191936, 4722366482869645213696, 13841287201000000000000, 37133262473195501387776

Offset

0,1

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, Apr 01 2022: (Start)

a(n) = A016957(n)^12 = A016958(n)^6 = A016959(n)^4 = A016960(n)^3 = A016962(n)^2.

a(n) = 2^12*A016800(n).

Sum_{n>=0} 1/a(n) = PolyGamma(11, 2/3)/86890185149644800. (End)

Mathematica

(6Range[0, 20]+4)^12  (* Harvey P. Dale, Apr 17 2011 *)

Prog

(Magma) [(6*n+4)^12: n in [0..20]]; // Vincenzo Librandi, May 07 2011

Crossrefs

Cf. A016800, A016957, A016958, A016959, A016960, A016961, A016962, A016963, A016964, A016965, A016966, A016967.

Subsequence of A008456.

Sequence in context: A016908 A017712 A010812 * A017040 A118063 A017124

Adjacent sequences: A016965 A016966 A016967 * A016969 A016970 A016971

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved