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A110271 Inverse of Riordan array (1/(1-x)^2,x(1-x)/(1+x)), A104698. 1

%I #4 Mar 30 2012 18:59:09

%S 1,-2,1,5,-4,1,-16,15,-6,1,60,-60,29,-8,1,-248,256,-136,47,-10,1,1092,

%T -1148,644,-252,69,-12,1,-5024,5344,-3104,1312,-416,95,-14,1,23868,

%U -25596,15228,-6780,2364,-636,125,-16,1,-116200,125360,-75896,35072,-13064,3920,-920,159,-18,1,576708,-625020,383460

%N Inverse of Riordan array (1/(1-x)^2,x(1-x)/(1+x)), A104698.

%C Product of the Riordan array (1-xS(-x),xS(-x)) (inverse of Delannoy triangle) and the Riordan array (1-x,x) (first difference matrix). Row sums are A103137. Diagonal sums are (-1)^n*A103137(n+1) with g.f. (1-xS(-x))^2/(1-x^2S(-x)).

%F Riordan array ((1-xS(-x))^2, xS(-x)) where S(x) is the g.f. of the large Schroeder numbers A006318.

%e Rows begin

%e 1;

%e -2,1;

%e 5,-4,1;

%e -16,15,-6,1;

%e 60,-60,29,-8,1;

%e -248,256,-136,47,-10,1;

%K easy,sign,tabl

%O 0,2

%A _Paul Barry_, Jul 18 2005

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Last modified August 26 20:18 EDT 2024. Contains 375462 sequences. (Running on oeis4.)