A016928 a(n) = (6*n + 1)^8.

1, 5764801, 815730721, 16983563041, 152587890625, 852891037441, 3512479453921, 11688200277601, 33232930569601, 83733937890625, 191707312997281, 406067677556641, 806460091894081, 1517108809906561, 2724905250390625, 4702525276151521, 7837433594376961

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Formula

From Amiram Eldar, Mar 28 2022: (Start)

a(n) = A016921(n)^8 = A016922(n)^4 = A016924(n)^2.

Sum_{n>=0} 1/a(n) = PolyGamma(7, 1/6)/8465264640. (End)

Mathematica

Table[(6*n + 1)^8, {n, 0, 20}] (* Amiram Eldar, Mar 28 2022 *)

Prog

(Magma) [(6*n+1)^8: n in [0..30]]; // Vincenzo Librandi, May 04 2011

Crossrefs

Cf. A016921, A016922, A016923, A016924, A016925, A016926, A016927.

Sequence in context: A151699 A038828 A038817 * A016988 A017156 A017252

Adjacent sequences: A016925 A016926 A016927 * A016929 A016930 A016931

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved