A016930 a(n) = (6*n + 1)^10.

1, 282475249, 137858491849, 6131066257801, 95367431640625, 819628286980801, 4808584372417849, 21611482313284249, 79792266297612001, 253295162119140625, 713342911662882601, 1822837804551761449, 4297625829703557649, 9468276082626847201, 19687440434072265625

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Crossrefs

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

Programs

Magma

[(6*n+1)^10: n in [0..25]]; // Vincenzo Librandi, May 04 2011

Mathematica

(6 Range[0, 15] + 1)^10 (* Wesley Ivan Hurt, Jan 15 2022 *)
LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{1,282475249,137858491849,6131066257801,95367431640625,819628286980801,4808584372417849,21611482313284249,79792266297612001,253295162119140625,713342911662882601},20] (* Harvey P. Dale, Sep 05 2023 *)

Formula

From Amiram Eldar, Mar 28 2022: (Start)

a(n) = A016921(n)^10 = A016922(n)^5 = A016925(n)^2.

Sum_{n>=0} 1/a(n) = PolyGamma(9, 1/6)/21941965946880. (End)