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 A022317 #11 Aug 25 2017 23:35:29 %S A022317 0,12,13,26,40,67,108,176,285,462,748,1211,1960,3172,5133,8306,13440, %T A022317 21747,35188,56936,92125,149062,241188,390251,631440,1021692,1653133, %U A022317 2674826,4327960,7002787,11330748 %N A022317 a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 12. %H A022317 G. C. Greubel, <a href="/A022317/b022317.txt">Table of n, a(n) for n = 0..1000</a> %H A022317 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-1). %F A022317 From _R. J. Mathar_, Apr 07 2011: (Start) %F A022317 G.f.: x*(12-11*x)/( (1-x)*(1-x-x^2) ). %F A022317 a(n) = A022103(n) - 1. (End) %F A022317 a(n) = F(n+2) + 11*F(n) - 1, where F = A000045. - _G. C. Greubel_, Aug 25 2017 %t A022317 LinearRecurrence[{2,0,-1}, {0,12,13}, 50] (* _G. C. Greubel_, Aug 25 2017 *) %o A022317 (PARI) x='x+O('x^50); concat([0], Vec(x*(12-11*x)/( (1-x)*(1-x-x^2) ))) \\ _G. C. Greubel_, Aug 25 2017 %K A022317 nonn %O A022317 0,2 %A A022317 _N. J. A. Sloane_