%I #3 Mar 30 2012 18:59:13
%S 1,-1,1,0,0,1,1,-1,0,1,0,0,0,0,1,0,0,-1,0,0,1,0,0,0,0,0,0,1,-1,1,0,-1,
%T 0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,
%U 0,0,1,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,0,1
%N Inverse of matrix (1,x)+(x,x^2) (expressed in Riordan array notation).
%C Row sums are A035263 (first Feigenbaum symbolic (or period-doubling) sequence). Columns are signed stretched Fredholm-Rueppel sequences. Inverse is A115356.
%F Number triangle whose k-th column has g.f. x^k*sum{j>=0, (-1)^j*(x^(2j-1))^(k+1)}.
%e Triangle begins
%e 1;
%e -1, 1;
%e 0, 0, 1;
%e 1, -1, 0, 1;
%e 0, 0, 0, 0, 1;
%e 0, 0, -1, 0, 0, 1;
%e 0, 0, 0, 0, 0, 0, 1;
%e -1, 1, 0, -1, 0, 0, 0, 1;
%e 0, 0, 0, 0, 0, 0, 0, 0, 1;
%e 0, 0, 0, 0, -1, 0, 0, 0, 0, 1;
%e 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
%K easy,sign,tabl
%O 0,1
%A _Paul Barry_, Jan 21 2006