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 A154829 #9 Sep 08 2013 19:59:24 %S A154829 1,1,1,3,4,1,17,25,9,1,171,258,102,16,1,3113,4635,1788,290,25,1, %T A154829 106419,154048,54909,7910,665,36,1,7035649,9907933,3232971,385669, %U A154829 26257,1323,49,1,915028347,1262093470,382948336,37703584,1889650,71596,2380,64,1 %N A154829 A q-Catalan triangle for q=2. %C A154829 First column is A015083. Row sums are A154828. %F A154829 Triangle [1,2,4,8,16,32,...] DELTA [1,0,1,0,1,0,1,....] where DELTA is the operator defined in A084938. - _Philippe Deléham_, Nov 28 2011 %F A154829 G.f.: 1/(1-(x+xy)/(1-2x/(1-(4x+xy)/(1-8x/(1-(16x+xy)/(1-.... (continued fraction). %e A154829 Triangle begins %e A154829 1, %e A154829 1, 1, %e A154829 3, 4, 1, %e A154829 17, 25, 9, 1, %e A154829 171, 258, 102, 16, 1, %e A154829 3113, 4635, 1788, 290, 25, 1 %Y A154829 Cf. A060693. %K A154829 easy,nonn,tabl %O A154829 0,4 %A A154829 _Paul Barry_, Jan 15 2009