cp's OEIS Frontend

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

%I A110271 #4 Mar 30 2012 18:59:09
%S A110271 1,-2,1,5,-4,1,-16,15,-6,1,60,-60,29,-8,1,-248,256,-136,47,-10,1,1092,
%T A110271 -1148,644,-252,69,-12,1,-5024,5344,-3104,1312,-416,95,-14,1,23868,
%U A110271 -25596,15228,-6780,2364,-636,125,-16,1,-116200,125360,-75896,35072,-13064,3920,-920,159,-18,1,576708,-625020,383460
%N A110271 Inverse of Riordan array (1/(1-x)^2,x(1-x)/(1+x)), A104698.
%C A110271 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 A110271 Riordan array ((1-xS(-x))^2, xS(-x)) where S(x) is the g.f. of the large Schroeder numbers A006318.
%e A110271 Rows begin
%e A110271 1;
%e A110271 -2,1;
%e A110271 5,-4,1;
%e A110271 -16,15,-6,1;
%e A110271 60,-60,29,-8,1;
%e A110271 -248,256,-136,47,-10,1;
%K A110271 easy,sign,tabl
%O A110271 0,2
%A A110271 _Paul Barry_, Jul 18 2005