%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