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 A103878 #12 Aug 31 2024 19:08:18 %S A103878 0,1,137,12019,874853,58067611,3673451957,226576032859,13790081534933, %T A103878 833490615528571,50196582942983477,3017503478665411099, %U A103878 181223386494229073813,10878637590184410995131,652876078076017863582197,39177315318319288337595739 %N A103878 Expansion of x / ((1-12x)(1-15x)(1-20x)(1-30x)(1-60x)). %H A103878 Colin Barker, <a href="/A103878/b103878.txt">Table of n, a(n) for n = 0..562</a> %H A103878 Jerry Metzger and Thomas Richards, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL18/Metzger/metz1.html">A Prisoner Problem Variation</a>, Journal of Integer Sequences, Vol. 18 (2015), Article 15.2.7. %H A103878 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (137,-6750,153000,-1620000,6480000). %F A103878 a(n) = (1/12) (12^n - 4*15^n + 6*20^n - 4*30^n + 60^n). %t A103878 CoefficientList[Series[x/((1-12x)(1-15x)(1-20x)(1-30x)(1-60x)),{x,0,20}],x] (* or *) LinearRecurrence[ {137,-6750,153000,-1620000,6480000},{0,1,137,12019,874853},20] (* _Harvey P. Dale_, Aug 31 2024 *) %o A103878 (PARI) concat(0, Vec(x/(-6480000*x^5+1620000*x^4-153000*x^3+6750*x^2-137*x+1) + O(x^100))) \\ _Colin Barker_, Apr 26 2015 %Y A103878 Cf. A001242. %K A103878 nonn,easy %O A103878 0,3 %A A103878 _Ralf Stephan_, Feb 20 2005