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.
%I A017093 #23 Apr 24 2023 02:54:22 %S A017093 32,100000,1889568,11881376,45435424,130691232,312500000,656356768, %T A017093 1252332576,2219006624,3707398432,5904900000,9039207968,13382255776, %U A017093 19254145824,27027081632,37129300000,50049003168,66338290976,86617093024,111577100832,141985700000,178689902368 %N A017093 a(n) = (8*n + 2)^5. %H A017093 Vincenzo Librandi, <a href="/A017093/b017093.txt">Table of n, a(n) for n = 0..10000</a> %H A017093 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1). %F A017093 G.f.: 32*(1 + 3119*x + 40314*x^2 + 63854*x^3 + 15349*x^4 + 243*x^5)/(x-1)^6. - _R. J. Mathar_, Jul 14 2016 %F A017093 From _Amiram Eldar_, Apr 24 2023: (Start) %F A017093 a(n) = A017089(n)^5. %F A017093 a(n) = 2^5*A016817(n). %F A017093 Sum_{n>=0} 1/a(n) = 5*Pi^5/98304 + 31*zeta(5)/2048. (End) %t A017093 (8Range[0,20]+2)^5 (* _Harvey P. Dale_, Feb 24 2011 *) %o A017093 (Magma) [(8*n+2)^5: n in [0..30]]; // _Vincenzo Librandi_, Jul 12 2011 %Y A017093 Cf. A013663, A016817, A017089 (8n+2), A000584 (n^5). %K A017093 nonn,easy %O A017093 0,1 %A A017093 _N. J. A. Sloane_