cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A016979 a(n) = (6*n + 5)^11.

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%I A016979 #19 Dec 17 2024 15:26:26
%S A016979 48828125,285311670611,34271896307633,952809757913927,
%T A016979 12200509765705829,96549157373046875,550329031716248441,
%U A016979 2472159215084012303,9269035929372191597,30155888444737842659,87507831740087890625,231122292121701565271,564154396389137449973
%N A016979 a(n) = (6*n + 5)^11.
%H A016979 Vincenzo Librandi, <a href="/A016979/b016979.txt">Table of n, a(n) for n = 0..1000</a>
%H A016979 <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 A016979 a(n) = (6*n + 5)^11.
%F A016979 From _Amiram Eldar_, Apr 01 2022: (Start)
%F A016979 a(n) = A016969(n)^11.
%F A016979 Sum_{n>=0} 1/a(n) = 181308931*zeta(11)/362797056 - 1261501*Pi^11/(428554022400*sqrt(3)). (End)
%t A016979 (6Range[0,20]+5)^11 (* or *) LinearRecurrence[{12,-66,220,-495,792,-924,792,-495,220,-66,12,-1},{48828125,285311670611,34271896307633,952809757913927,12200509765705829,96549157373046875,550329031716248441,2472159215084012303,9269035929372191597,30155888444737842659,87507831740087890625,231122292121701565271},20] (* _Harvey P. Dale_, Dec 17 2024 *)
%o A016979 (Magma) [(6*n+5)^11 : n in [0..20]]; // _Vincenzo Librandi_, May 17 2011
%Y A016979 Cf. A016969 (6*n + 5), A016970, A016971, A016972, A016973, A016974, A016975, A016976, A016977, A016978.
%Y A016979 Subsequence of A008455 (n^11).
%K A016979 nonn,easy
%O A016979 0,1
%A A016979 _N. J. A. Sloane_