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

%I #23 Mar 30 2022 06:33:54

%S 2048,8589934592,4049565169664,204800000000000,3670344486987776,

%T 36028797018963968,238572050223552512,1196683881290399744,

%U 4882812500000000000,16985107389382393856,52036560683837093888,143746751770690322432,364375289404334925824,858993459200000000000

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

%H Vincenzo Librandi, <a href="/A016943/b016943.txt">Table of n, a(n) for n = 0..2000</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

%F a(n) = A016787(n)*2^11. - _Zerinvary Lajos_, Jun 22 2009

%F From _Amiram Eldar_, Mar 30 2022: (Start)

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

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

%t (6*Range[0,10]+2)^11 (* _Harvey P. Dale_, Sep 30 2019 *)

%o (Magma) [(6*n+2)^11: n in [0..25]]; // _Vincenzo Librandi_, May 05 2011

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

%Y Subsequence of A008455.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_