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.

A016963 a(n) = (6*n + 4)^7.

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%I A016963 #17 Mar 31 2022 10:17:09
%S A016963 16384,10000000,268435456,2494357888,13492928512,52523350144,
%T A016963 163840000000,435817657216,1028071702528,2207984167552,4398046511104,
%U A016963 8235430000000,14645194571776,24928547056768,40867559636992,64847759419264,100000000000000,150363025899136,221068140740608
%N A016963 a(n) = (6*n + 4)^7.
%H A016963 Vincenzo Librandi, <a href="/A016963/b016963.txt">Table of n, a(n) for n = 0..1000</a>
%H A016963 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).
%F A016963 From _Amiram Eldar_, Mar 31 2022: (Start)
%F A016963 a(n) = A016957(n)^7.
%F A016963 a(n) = 2^7*A016795(n).
%F A016963 Sum_{n>=0} 1/a(n) = 1093*zeta(7)/279936 - 7*Pi^7/(3149280*sqrt(3)). (End)
%t A016963 (6*Range[0,20]+4)^7 (* or *) LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{16384,10000000,268435456,2494357888,13492928512,52523350144,163840000000,435817657216},20] (* _Harvey P. Dale_, Mar 03 2018 *)
%o A016963 (Magma) [(6*n+4)^7: n in [0..20]]; // _Vincenzo Librandi_, May 07 2011
%Y A016963 Cf. A016795, A016957, A016958, A016959, A016960, A016961, A016962.
%Y A016963 Subsequence of A001015.
%K A016963 nonn,easy
%O A016963 0,1
%A A016963 _N. J. A. Sloane_