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

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

Offset

0,1

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).

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)

Mathematica

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

Prog

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

Crossrefs

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

Subsequence of A008455.

Sequence in context: A323543 A016835 A016883 * A017015 A017099 A017195

Adjacent sequences: A016940 A016941 A016942 * A016944 A016945 A016946

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved