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 A068180 #24 Jan 09 2021 11:03:58 %S A068180 1,25,625,11095,164125,2201575,28021525,346791295,4228592125, %T A068180 51161968375,616523997925,7414045240495,89064205082125, %U A068180 1069348964379175,12835676881182325,154049132081273695 %N A068180 (Product_{i=1..4} (x+i)) / (Product_{i=1..4} (x-i)) = Sum_{n>=1} a(n)/A067419(n)*x^n. %H A068180 Vincenzo Librandi, <a href="/A068180/b068180.txt">Table of n, a(n) for n = 1..900</a> %H A068180 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (25,-210,720,-864). %F A068180 Lim_{n->infinity} a(n)/A067419(n) = 20. %F A068180 For n > 1, a(n) = (5/6)*12^n - (15/2)*6^n + (35/2)*4^n - (35/3)*3^n. - _Ralf Stephan_, May 08 2004 %F A068180 G.f.: x*(864*x^4 + 210*x^2 + 1) / ((3*x-1)*(4*x-1)*(6*x-1)*(12*x-1)). - _Colin Barker_, Jun 17 2013 %t A068180 LinearRecurrence[{25,-210,720,-864},{1,25,625,11095,164125},30] (* _Harvey P. Dale_, Oct 28 2015 *) %Y A068180 Cf. A067419. %K A068180 easy,nonn %O A068180 1,2 %A A068180 _Benoit Cloitre_, Mar 12 2002