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.

A017143 a(n) = (8*n+6)^7.

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%I A017143 #23 Apr 26 2023 06:20:52
%S A017143 279936,105413504,2494357888,21870000000,114415582592,435817657216,
%T A017143 1338925209984,3521614606208,8235430000000,17565568854912,
%U A017143 34792782221696,64847759419264,114868566764928,194871710000000,318547390056832,504189521813376,775771085481344,1164175380274048
%N A017143 a(n) = (8*n+6)^7.
%H A017143 Vincenzo Librandi, <a href="/A017143/b017143.txt">Table of n, a(n) for n = 0..10000</a>
%H A017143 <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 A017143 a(n) = 128*A016843(n). - _R. J. Mathar_, Aug 26 2015
%F A017143 From _Amiram Eldar_, Apr 26 2023: (Start)
%F A017143 a(n) = A017137(n)^7.
%F A017143 Sum_{n>=0} 1/a(n) = 127*zeta(7)/32768 - 61*Pi^7/47185920. (End)
%p A017143 A017143:=n->(8*n+6)^7: seq(A017143(n), n=0..20); # _Wesley Ivan Hurt_, Feb 11 2017
%t A017143 Table[(8 n + 6)^7, {n, 0, 13}] (* _Michael De Vlieger_, Feb 12 2017 *)
%o A017143 (Magma) [(8*n+6)^7: n in [0..20]]; // _Vincenzo Librandi_, Jul 22 2011
%Y A017143 Cf. A013665, A016843, A017137.
%K A017143 nonn,easy
%O A017143 0,1
%A A017143 _N. J. A. Sloane_