A016943 a(n) = (6*n + 2)^11.

2048, 8589934592, 4049565169664, 204800000000000, 3670344486987776, 36028797018963968, 238572050223552512, 1196683881290399744, 4882812500000000000, 16985107389382393856, 52036560683837093888, 143746751770690322432, 364375289404334925824, 858993459200000000000

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 (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Crossrefs

Cf. A016787, A016933, A016934, A016935, A016936, A016937, A016938, A016939, A016940, A016941, A016942.

Subsequence of A008455.

Programs

Magma

[(6*n+2)^11: n in [0..25]]; // Vincenzo Librandi, May 05 2011

Mathematica

(6*Range[0,10]+2)^11 (* Harvey P. Dale, Sep 30 2019 *)

Formula

a(n) = A016787(n)*2^11. - Zerinvary Lajos, Jun 22 2009

From Amiram Eldar, Mar 30 2022: (Start)

a(n) = A016933(n)^9 = A016935(n)^3.

Sum_{n>=0} 1/a(n) = 1847*Pi^11/(1285662067200*sqrt(3)) + 88573*zeta(11)/362797056. (End)