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%I #22 Apr 12 2023 08:19:16
%S 1,4194304,1977326743,100000000000,1792160394037,17592186044416,
%T 116490258898219,584318301411328,2384185791015625,8293509467471872,
%U 25408476896404831,70188843638032384,177917621779460413,419430400000000000,929293739471222707,1951354384207722496
%N a(n) = (3*n + 1)^11.
%H Vincenzo Librandi, <a href="/A016787/b016787.txt">Table of n, a(n) for n = 0..10000</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 From _Amiram Eldar_, Mar 30 2022: (Start)
%F a(n) = A016777(n)^11.
%F Sum_{n>=0} 1/a(n) = 7388*Pi^11/(2511058725*sqrt(3)) + 88573*zeta(11)/177147. (End)
%F a(n) = 12*a(n-1) - 66*a(n-2) + 220*a(n-3) - 495*a(n-4) + 792*a(n-5) - 924*a(n-6) + 792*a(n-7) - 495*a(n-8) + 220*a(n-9) - 66*a(n-10) + 12*a(n-11) - a(n-12). - _Wesley Ivan Hurt_, Apr 12 2023
%t Table[(3*n + 1)^11, {n, 0, 30}] (* _Amiram Eldar_, Mar 30 2022 *)
%o (Magma) [(3*n+1)^11: n in [0..20]]; // _Vincenzo Librandi_, Sep 29 2011
%Y Cf. A016777, A016778, A016779, A016780, A016781, A016782, A016783, A016784, A016785, A016786.
%Y Subsequence of A008455.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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