A016942 a(n) = (6*n + 2)^10.

1024, 1073741824, 289254654976, 10240000000000, 141167095653376, 1125899906842624, 6278211847988224, 27197360938418176, 97656250000000000, 303305489096114176, 839299365868340224, 2113922820157210624, 4923990397355877376, 10737418240000000000, 22130157888803070976

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 (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Crossrefs

Cf. A016786, A016933, A016934, A016935, A016936, A016937, A016938, A016939, A016940, A016941.

Programs

Magma

[(6*n+2)^10: n in [0..25]]; // Vincenzo Librandi, May 05 2011

Mathematica

(6*Range[0,20]+2)^10 (* Harvey P. Dale, Apr 24 2017 *)

Formula

From Amiram Eldar, Mar 29 2022: (Start)

a(n) = A016933(n)^10 = A016934(n)^5 = A016937(n)^2.

a(n) = 2^10*A016786(n).

Sum_{n>=0} 1/a(n) = PolyGamma(9, 1/3)/21941965946880. (End)