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.

A017122 a(n) = (8*n + 4)^10.

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%I A017122 #17 Apr 25 2023 05:57:47
%S A017122 1048576,61917364224,10240000000000,296196766695424,3656158440062976,
%T A017122 27197360938418176,144555105949057024,604661760000000000,
%U A017122 2113922820157210624,6428888932339941376,17490122876598091776,43438845422363213824,100000000000000000000,215892499727278669824
%N A017122 a(n) = (8*n + 4)^10.
%H A017122 Vincenzo Librandi, <a href="/A017122/b017122.txt">Table of n, a(n) for n = 0..10000</a>
%H A017122 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
%F A017122 G.f.: ( -1048576 - 61905829888*x - 9558966665216*x^2 - 186962048712704*x^3 - 950977987346432*x^4 - 1601272511725568*x^5 - 950977987346432*x^6 - 186962048712704*x^7 - 9558966665216*x^8 - 61905829888*x^9 - 1048576*x^10 ) / ( (x-1)^11 ). - _R. J. Mathar_, May 08 2015
%F A017122 From _Amiram Eldar_, Apr 25 2023: (Start)
%F A017122 a(n) = A017113(n)^10.
%F A017122 a(n) = 2^10*A016834(n) = 2^20*A016762(n).
%F A017122 Sum_{n>=0} 1/a(n) = 31*Pi^10/3044058071040. (End)
%t A017122 Table[(8*n + 4)^10, {n, 0, 20}] (* _Amiram Eldar_, Apr 25 2023 *)
%o A017122 (Magma) [(8*n+4)^10: n in [0..15] ]; // _Vincenzo Librandi_, Jul 21 2011
%Y A017122 Cf. A016762, A016834, A017113.
%K A017122 nonn,easy
%O A017122 0,1
%A A017122 _N. J. A. Sloane_