cp's OEIS Frontend

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.

A097761 Inverse of binomial transform of Whitney triangle.

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%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