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%I #8 Nov 13 2021 05:49:54
%S 1,3,1,7,7,1,15,30,12,1,31,103,79,18,1,63,312,387,166,25,1,127,873,
%T 1586,1085,305,33,1,255,2314,5768,5719,2545,512,42,1,511,5899,19261,
%U 25994,16661,5285,805,52,1,1023,14604,60337,106009,92008,41881,10038,1204,63,1
%N Coefficient array of the second column of the inverse of the Riordan array ((1+(r+1)x)/(1+(r+2)x+rx^2), x/(1+(r+2)x+rx^2)).
%C First column is A000225. Row sums are A128714(n+2). Diagonal sums are A188464.
%F G.f.: ((x-1)*sqrt(x^2*(y^2+4)-2*x*(y+2)+1)+x^2*(2-y)-x*(y+3)+1)/(2*x^3*y*(1+y-x)).
%e Triangle begins
%e 1,
%e 3, 1,
%e 7, 7, 1,
%e 15, 30, 12, 1,
%e 31, 103, 79, 18, 1,
%e 63, 312, 387, 166, 25, 1,
%e 127, 873, 1586, 1085, 305, 33, 1,
%e 255, 2314, 5768, 5719, 2545, 512, 42, 1,
%e 511, 5899, 19261, 25994, 16661, 5285, 805, 52, 1
%Y Cf. A119308.
%K nonn,tabl,easy
%O 0,2
%A _Paul Barry_, Apr 01 2011
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