A016931 a(n) = (6*n + 1)^11.

1, 1977326743, 1792160394037, 116490258898219, 2384185791015625, 25408476896404831, 177917621779460413, 929293739471222707, 3909821048582988049, 13931233916552734375, 43513917611435838661, 122130132904968017083, 313726685568359708377, 747993810527520928879

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

Crossrefs

Cf. A016921, A016922, A016923, A016924, A016925, A016926, A016927, A016928, A016929, A016930.

Programs

Magma

[(6*n+1)^11: n in [0..25]]; // Vincenzo Librandi, May 04 2011

Mathematica

(6*Range[0,20]+1)^11 (* Harvey P. Dale, Aug 23 2017 *)

Formula

From Amiram Eldar, Mar 28 2022: (Start)

a(n) = A016921(n)^11.

Sum_{n>=0} 1/a(n) = 1261501*Pi^11/(428554022400*sqrt(3)) + 181308931*zeta(11)/362797056. (End)