A016980 a(n) = (6*n + 5)^12.

244140625, 3138428376721, 582622237229761, 21914624432020321, 353814783205469041, 3379220508056640625, 22563490300366186081, 116191483108948578241, 491258904256726154641, 1779197418239532716881, 5688009063105712890625, 16409682740640811134241, 43439888521963583647921

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) = A016969(n)^12 = A016970(n)^6 = A016971(n)^4 = A016972(n)^3 = A016974(n)^2.

Sum_{n>=0} 1/a(n) = PolyGamma(11, 5/6)/86890185149644800. (End)

Mathematica

(6*Range[0, 15] + 5)^12 (* Paolo Xausa, Dec 10 2025 *)
LinearRecurrence[{13, -78, 286, -715, 1287, -1716, 1716, -1287, 715, -286, 78, -13, 1}, {244140625, 3138428376721, 582622237229761, 21914624432020321, 353814783205469041, 3379220508056640625, 22563490300366186081, 116191483108948578241, 491258904256726154641, 1779197418239532716881, 5688009063105712890625, 16409682740640811134241, 43439888521963583647921}, 20] (* Harvey P. Dale, Jan 31 2026 *)

Prog

(Magma) [(6*n+5)^12: n in [0..40]]; // Vincenzo Librandi, May 19 2011

Crossrefs

Cf. A016969 (6*n + 5), A016970, A016971, A016972, A016973, A016974, A016975, A016976, A016977, A016978, A016979.

Subsequence of A008456 (n^12).

Sequence in context: A064869 A016824 A016860 * A017052 A017136 A017232

Adjacent sequences: A016977 A016978 A016979 * A016981 A016982 A016983

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved