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.

A016965 a(n) = (6*n + 4)^9.

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%I A016965 #15 Mar 31 2022 10:17:14
%S A016965 262144,1000000000,68719476736,1207269217792,10578455953408,
%T A016965 60716992766464,262144000000000,922190162669056,2779905883635712,
%U A016965 7427658739644928,18014398509481984,40353607000000000,84590643846578176,167619550409708032,316478381828866048,572994802228616704
%N A016965 a(n) = (6*n + 4)^9.
%H A016965 Vincenzo Librandi, <a href="/A016965/b016965.txt">Table of n, a(n) for n = 0..1000</a>
%H A016965 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
%F A016965 From _Amiram Eldar_, Mar 31 2022: (Start)
%F A016965 a(n) = A016957(n)^9 = A016958(n)^3.
%F A016965 a(n) = 2^9*A016797(n).
%F A016965 Sum_{n>=0} 1/a(n) = 9841*zeta(9)/10077696 - 809*Pi^9/(14285134080*sqrt(3)). (End)
%t A016965 (6*Range[0,20]+4)^9 (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{262144,1000000000,68719476736,1207269217792,10578455953408,60716992766464,262144000000000,922190162669056,2779905883635712,7427658739644928},20] (* _Harvey P. Dale_, Mar 04 2016 *)
%o A016965 (Magma) [(6*n+4)^9: n in [0..20]]; // _Vincenzo Librandi_, May 07 2011
%Y A016965 Cf. A016797, A016957, A016958, A016959, A016960, A016961, A016962, A016963, A016964.
%Y A016965 Subsequence of A001017.
%K A016965 nonn,easy
%O A016965 0,1
%A A016965 _N. J. A. Sloane_