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 A155788 #2 Mar 30 2012 18:59:22 %S A155788 1,1,1,3,2,1,9,7,3,1,29,24,12,4,1,97,85,46,18,5,1,333,306,177,76,25,6, %T A155788 1,1165,1115,681,315,115,33,7,1,4135,4100,2622,1288,510,164,42,8,1, %U A155788 14845,15185,10104,5220,2206,774,224,52,9,1 %N A155788 Renewal array for 1/(x+sqrt(1-4x)). %C A155788 First column is A081696. Row sums are A000984. %C A155788 Contribution from _Paul Barry_, Jan 27 2009: (Start) %C A155788 First column of A155788. %C A155788 In general, the image of the sequence with g.f. 1/(1-ax-bx^2) under (1,xc(x)) has g.f. %C A155788 1/(1-ax-(a+b)x/(1-2x-x^2/(1-2x-x^2/(1-2x-x^2/(1-..... (continued fraction). (End) %F A155788 Riordan array (1/(x+sqrt(1-4x)),x/(x+sqrt(1-4x)); %F A155788 G.f.: 1/(1-x-xy-2x^2/(1-2x-x^2/(1-2x-x^2/(1-2x-x^2/(1-..... (continued fraction). %F A155788 G.f: 1/(1-x-2x^2/(1-2x-x^2/(1-2x-x^2/(1-2x-x^2/(1-.... (continued fraction). [From _Paul Barry_, Jan 27 2009] %e A155788 Triangle begins %e A155788 1, %e A155788 1, 1, %e A155788 3, 2, 1, %e A155788 9, 7, 3, 1, %e A155788 29, 24, 12, 4, 1, %e A155788 97, 85, 46, 18, 5, 1, %e A155788 333, 306, 177, 76, 25, 6, 1 %K A155788 easy,nonn,tabl %O A155788 0,4 %A A155788 _Paul Barry_, Jan 27 2009