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 A016228 #23 Jul 08 2025 05:44:12 %S A016228 1,12,103,774,5425,36456,238267,1527258,9651829,60352380,374321311, %T A016228 2306963022,14146953913,86407602384,526075008835,3194597025666, %U A016228 19358317017277,117103576420068,707389830102439,4268180838524790,25728294320699521,154965812371951032 %N A016228 Expansion of 1/((1-x)*(1-5*x)(1-6*x)). %H A016228 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (12,-41,30). %F A016228 a(n) = (1/20)-(25/4)*5^n+(36/5)*6^n. [_Antonio Alberto Olivares_, Feb 06 2010] %F A016228 a(0)=1, a(1)=12, a(n)=11*a(n-1)-30*a(n-2)+1. - _Vincenzo Librandi_, Feb 10 2011 %p A016228 a:=n->sum(6^(n-j)-5^(n-j),j=0..n): seq(a(n), n=1..19); # _Zerinvary Lajos_, Jan 15 2007 %t A016228 Table[(2^(n + 3)*3^(n + 1) - 5^(n + 2) + 1)/20, {n, 40}] (* and *) CoefficientList[Series[1/((1 - z) (1 - 5*z) (1 - 6*z)), {z, 0, 40}], z] (* _Vladimir Joseph Stephan Orlovsky_, Jul 21 2011 *) %t A016228 LinearRecurrence[{12,-41,30},{1,12,103},30] (* _Harvey P. Dale_, Aug 24 2017 *) %o A016228 (PARI) Vec(1/((1-x)*(1-5*x)(1-6*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012 %Y A016228 Cf. A016218. %K A016228 nonn,easy %O A016228 0,2 %A A016228 _N. J. A. Sloane_