A016926 a(n) = (6*n + 1)^6.

1, 117649, 4826809, 47045881, 244140625, 887503681, 2565726409, 6321363049, 13841287201, 27680640625, 51520374361, 90458382169, 151334226289, 243087455521, 377149515625, 567869252041, 832972004929, 1194052296529, 1677100110841, 2313060765625, 3138428376721

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 (7,-21,35,-35,21,-7,1).

Crossrefs

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

Programs

Magma

[(6*n+1)^6: n in [0..40]]; // Vincenzo Librandi, May 04 2011

Mathematica

(6*Range[0,20]+1)^6 (* or *) LinearRecurrence[{7,-21,35,-35,21,-7,1},{1,117649,4826809,47045881,244140625,887503681,2565726409},20] (* Harvey P. Dale, Aug 19 2019 *)

Formula

From Amiram Eldar, Mar 28 2022: (Start)

a(n) = A016921(n)^6 = A016922(n)^3 = A016923(n)^2.

Sum_{n>=0} 1/a(n) = PolyGamma(5, 1/6)/5598720. (End)