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 A055528 #20 Mar 18 2024 12:05:38 %S A055528 0,1,18,207,2134,21465,214866,2149003,21490542,214906149,2149062490, %T A055528 21490626231,214906264038,2149062642577,21490626428514, %U A055528 214906264288515,2149062642889246,21490626428897373,214906264288979562,2149062642889802479,21490626428898032790 %N A055528 a(n) = 10*a(n-1)+n^3, a(0)=0. %C A055528 a(n)/10^n converges to 470/2187=0.214906264... %H A055528 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (14,-46,64,-41,10). %F A055528 a(n) = (10^n-1)*(470/2187)-n^3/9-n^2*(10/27)-n*(110/243). %F A055528 G.f.: -x*(x^2+4*x+1) / ((x-1)^4*(10*x-1)). - _Colin Barker_, Sep 13 2014 %t A055528 RecurrenceTable[{a[0]==0,a[n]==10a[n-1]+n^3},a,{n,20}] (* _Harvey P. Dale_, Mar 21 2023 *) %o A055528 (PARI) concat(0, Vec(-x*(x^2+4*x+1)/((x-1)^4*(10*x-1)) + O(x^100))) \\ _Colin Barker_, Sep 13 2014 %Y A055528 Cf. A014824. %K A055528 nonn,easy %O A055528 0,3 %A A055528 _Henry Bottomley_, Jul 04 2000 %E A055528 Corrected by _T. D. Noe_, Nov 08 2006 %E A055528 More terms from _Colin Barker_, Sep 13 2014