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 A145655 #12 Jul 31 2015 21:43:24 %S A145655 4,24,108,448,1812,7272,29116,116496,466020,1864120,7456524,29826144, %T A145655 119304628,477218568,1908874332,7635497392,30541989636,122167958616, %U A145655 488671834540,1954687338240,7818749353044,31274997412264 %N A145655 Partial sums of A080674. %H A145655 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (6, -9, 4). %F A145655 a(n) = sum_{i=0..n} A080674(i). a(n+1)-a(n) = A080674(n+1). %F A145655 a(n) = 4*(4^(n+1)-3n-4)/9 = 4*A014825(n). - _R. J. Mathar_, Oct 21 2008 %F A145655 G.f.: 4x/((1-x)^2(1-4x)). - _R. J. Mathar_, Oct 21 2008 %F A145655 a(1)=4, a(2)=24, a(3)=108, a(n)=6*a(n-1)-9*a(n-2)+4*a(n-3). - _Harvey P. Dale_, Nov 27 2013 %t A145655 lst={};s=0;Do[s+=(s+=(s+=n));AppendTo[lst,s],{n,3*4!}];lst %t A145655 Accumulate[Table[4(4^n-1)/3,{n,0,40}]] (* or *) LinearRecurrence[{6,-9,4},{0,4,24},40] (* _Harvey P. Dale_, Nov 27 2013 *) %Y A145655 Cf. A080674. %K A145655 nonn %O A145655 1,1 %A A145655 _Vladimir Joseph Stephan Orlovsky_, Oct 16 2008 %E A145655 Edited by _R. J. Mathar_, Oct 21 2008