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 A105849 #4 Nov 16 2012 04:00:11 %S A105849 1,3,9,28,91,308,1079,3888,14332,53810,205075,791250,3084504,12129506, %T A105849 48056095,191633546,768535768,3097705378,12541851048,50983349848, %U A105849 208003171266,851412895348,3495527318559,14390543072502,59393240482618 %N A105849 Row sums of number triangle A105848. %C A105849 Binomial transform of A105633. %F A105849 G.f.: (1-2x-sqrt((1-6x+8x^2-4x^3)/(1-2x)))/(2x^2). %F A105849 Conjecture: (n+2)*a(n) +2*(-4*n-3)*a(n-1) +4*(5*n-2)*a(n-2) +2*(-10*n+17)*a(n-3) +8*(n-3)*a(n-4)=0. - _R. J. Mathar_, Nov 16 2012 %K A105849 easy,nonn %O A105849 0,2 %A A105849 _Paul Barry_, Apr 22 2005