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 A017091 #22 Apr 24 2023 02:54:27 %S A017091 8,1000,5832,17576,39304,74088,125000,195112,287496,405224,551368, %T A017091 729000,941192,1191016,1481544,1815848,2197000,2628072,3112136, %U A017091 3652264,4251528,4913000,5639752,6434856,7301384,8242408,9261000,10360232,11543176,12812904,14172488,15625000 %N A017091 a(n) = (8*n + 2)^3. %H A017091 Vincenzo Librandi, <a href="/A017091/b017091.txt">Table of n, a(n) for n = 0..10000</a> %H A017091 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1). %F A017091 G.f.: 8*(1 + 121*x + 235*x^2 + 27*x^3)/(x-1)^4. - _R. J. Mathar_, Jul 14 2016 %F A017091 From _Amiram Eldar_, Apr 24 2023: (Start) %F A017091 a(n) = A017089(n)^3. %F A017091 a(n) = 2^3*A016815(n). %F A017091 Sum_{n>=0} 1/a(n) = Pi^3/512 + 7*zeta(3)/128. (End) %t A017091 (8*Range[0,30]+2)^3 (* or *) LinearRecurrence[{4,-6,4,-1},{8,1000,5832,17576},30] (* _Harvey P. Dale_, Dec 30 2019 *) %o A017091 (Magma) [(8*n+2)^3: n in [0..35]]; // _Vincenzo Librandi_, Jul 12 2011 %Y A017091 Cf. A002117, A016815, A017089 (8n+2), A000578 (n^3). %K A017091 nonn,easy %O A017091 0,1 %A A017091 _N. J. A. Sloane_