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 A097761 #6 Mar 16 2025 02:34:35 %S A097761 1,-2,1,4,-4,1,-10,13,-6,1,28,-42,26,-8,1,-84,138,-102,43,-10,1,264, %T A097761 -462,385,-198,64,-12,1,-858,1573,-1430,845,-338,89,-14,1,2860,-5434, %U A097761 5278,-3458,1610,-530,118,-16,1,-9724,19006,-19448,13804,-7208,2788,-782,151,-18,1,33592 %N A097761 Inverse of binomial transform of Whitney triangle. %C A097761 As an element of the Riordan group, this is ((1-x*C(-x))*C(-x), x*C(-x)^2), where C(x) = (1-(1-4*x)^(1/2))/(2*x) is the g.f. for Catalan numbers, A000108. %C A097761 Inverse of A097750. %C A097761 Row sums have g.f. (1-x*C(-x))*C(-x)/(1-x*C(-x)^2), or 1,-1,1,-2,5,-14,42,... %e A097761 Rows begin: %e A097761 {1}, %e A097761 {-2,1}, %e A097761 {4,-4,1}, %e A097761 {-10,13,-6,1}, %e A097761 ... %K A097761 easy,sign,tabl %O A097761 0,2 %A A097761 _Paul Barry_, Aug 23 2004