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Main diagonal of square table A086623 of coefficients of f(x,y) that satisfies f(x,y) = (1-xy)/[(1-x)(1-y)] + xy*f(x,y)^2.
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%I #3 Mar 30 2012 18:36:38

%S 1,1,4,19,100,570,3442,21685,141112,941990,6419174,44493000,312818326,

%T 2226155632,16008452202,116167346499,849724397580,6259403310366,

%U 46399703925202,345894094030552

%N Main diagonal of square table A086623 of coefficients of f(x,y) that satisfies f(x,y) = (1-xy)/[(1-x)(1-y)] + xy*f(x,y)^2.

%Y Cf. A086623 (table), A086625 (antidiagonal sums).

%K nonn

%O 0,3

%A _Paul D. Hanna_, Jul 24 2003