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 A152268 #36 Oct 26 2024 14:15:18 %S A152268 0,1,7,41,231,1289,7175,39913,221991,1234633,6866503,38188457, %T A152268 212387175,1181202569,6569320583,36535623529,203194800039, %U A152268 1130078612041,6284991883975,34954314291497,194400264968679,1081167340448777 %N A152268 Expansion of g.f. x/(1-7*x+8*x^2). %C A152268 Binomial transform of 0, 1, 5, 23, 105, ... (A107839 with an additional initial term 0) and second binomial transform of 0, 1, 3, 11, 39, ... (A007482 with an additional initial term 0). - _Klaus Purath_, Sep 09 2024 %H A152268 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (7,-8). %F A152268 From _R. J. Mathar_, Dec 04 2008: (Start) %F A152268 a(n) = 7*a(n-1) - 8*a(n-2). %F A152268 G.f.: x/(1-7*x+8*x^2). (End) %o A152268 (Sage) [lucas_number1(n,7,8) for n in range(0, 22)] # _Zerinvary Lajos_, Apr 23 2009 %K A152268 nonn,easy %O A152268 0,3 %A A152268 _Roger L. Bagula_, Dec 01 2008