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 A145729 #16 Sep 08 2022 08:45:38 %S A145729 0,8,80,664,5344,42792,342384,2739128,21913088,175304776,1402438288, %T A145729 11219506392,89756051232,718048409960,5744387279792,45955098238456, %U A145729 367640785907776,2941126287262344,23529010298098896,188232082384791320 %N A145729 Partial sums of A052379. %H A145729 Vincenzo Librandi, <a href="/A145729/b145729.txt">Table of n, a(n) for n = 0..400</a> %H A145729 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (10,-17,8). %F A145729 a(n) = sum_{i=0..n-1} A052379(i). %F A145729 a(n) = 8*(8^(n+1)-7*n-8)/49 = 8*A014831(n) = 2*A145730(n). - _R. J. Mathar_, Oct 21 2008 %F A145729 a(n) = 10*a(n-1)-17*a(n-2)+8*a(n-3). G.f.: -8*x / ((x-1)^2*(8*x-1)). - _Colin Barker_, Oct 27 2014 %t A145729 lst={};s=0;Do[s+=(s+=(s+=(s+=n)));AppendTo[lst,s],{n,0,5!}];lst %o A145729 (Magma) [8*(8^(n+1)-7*n-8)/49 : n in [0..20]]; // _Vincenzo Librandi_, Jul 04 2011 %o A145729 (PARI) concat(0, Vec(-8*x/((x-1)^2*(8*x-1)) + O(x^100))) \\ _Colin Barker_, Oct 27 2014 %Y A145729 Cf. A052379. %K A145729 nonn,easy %O A145729 0,2 %A A145729 _Vladimir Joseph Stephan Orlovsky_, Oct 17 2008 %E A145729 Edited by _R. J. Mathar_, Oct 21 2008