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.

A016975 a(n) = (6*n + 5)^7.

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%I A016975 #23 Apr 01 2022 09:11:05
%S A016975 78125,19487171,410338673,3404825447,17249876309,64339296875,
%T A016975 194754273881,506623120463,1174711139837,2488651484819,4902227890625,
%U A016975 9095120158391,16048523266853,27136050989627,44231334895529,69833729609375,107213535210701,160578147647843,235260548044817
%N A016975 a(n) = (6*n + 5)^7.
%H A016975 Vincenzo Librandi, <a href="/A016975/b016975.txt">Table of n, a(n) for n = 0..1000</a>
%H A016975 <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 A016975 a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8). - _Harvey P. Dale_, Jan 30 2013
%F A016975 From _Amiram Eldar_, Apr 01 2022: (Start)
%F A016975 a(n) = A016969(n)^7.
%F A016975 Sum_{n>=0} 1/a(n) = 138811*zeta(7)/279936 - 301*Pi^7/(1049760*sqrt(3)). (End)
%t A016975 (6Range[0,20]+5)^7 (* or *) LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{78125,19487171,410338673,3404825447,17249876309,64339296875,194754273881,506623120463},20] (* _Harvey P. Dale_, Jan 30 2013 *)
%o A016975 (Magma) [(6*n+5)^7: n in [0..25]]; // _Vincenzo Librandi_, May 11 2011
%Y A016975 Cf. A016969 (6*n + 5), A016970, A016971, A016972, A016973, A016974.
%Y A016975 Subsequence of A001015 (n^7).
%K A016975 nonn,easy
%O A016975 0,1
%A A016975 _N. J. A. Sloane_