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 A187891 #29 Apr 11 2024 10:11:13 %S A187891 0,5,4,8,11,18,28,45,72,116,187,302,488,789,1276,2064,3339,5402,8740, %T A187891 14141,22880,37020,59899,96918,156816,253733,410548,664280,1074827, %U A187891 1739106,2813932,4553037,7366968,11920004,19286971,31206974,50493944,81700917 %N A187891 a(0)=0, a(1)=5, a(n)=a(n-1)+a(n-2)-1. %H A187891 Harvey P. Dale, <a href="/A187891/b187891.txt">Table of n, a(n) for n = 0..1000</a> %H A187891 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-1). %F A187891 a(n) = 1+A022120(n-2), n>2. - _R. J. Mathar_, Mar 15 2011 %F A187891 G.f.: -x^2*(-5+6*x) / ( (x-1)*(x^2+x-1) ). - _R. J. Mathar_, Mar 15 2011 %t A187891 Join[{a=0,b=5},Table[c=a+b-1;a=b;b=c,{n,100}]] %t A187891 nxt[{a_,b_}]:={b,a+b-1}; NestList[nxt,{0,5},40][[All,1]] (* _Harvey P. Dale_, Nov 03 2022 *) %Y A187891 Cf. A000071, A001611, A001612, A022120, A187890. %K A187891 nonn,easy %O A187891 0,2 %A A187891 _Vladimir Joseph Stephan Orlovsky_, Mar 15 2011