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A124562 Row 2 of table A124560; also, the self-convolution square equals A124552, which is row 2 of table A124550.

%I A124562 #3 Mar 30 2012 18:37:01
%S A124562 1,1,3,12,63,429,3716,40272,541655,9022405,186233087,4771577072,
%T A124562 152050410552,6037181967007,299176055730253,18530408350215038,
%U A124562 1436276193993882859,139462485162718679221,16980510121067921518710
%N A124562 Row 2 of table A124560; also, the self-convolution square equals A124552, which is row 2 of table A124550.
%C A124562 In table A124560, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k * [R_{n*k}(y)]^(n*k) for n>=0.
%F A124562 G.f.: A(x) = Sum_{k>=0} y^k * [R_{2k}(y)]^(2k), where R_n(x) is the g.f. of row n in table A124560.
%Y A124562 Cf. A124560 (table); other rows: A124551, A124563, A124564, A124565, A124566.
%K A124562 nonn
%O A124562 0,3
%A A124562 _Paul D. Hanna_, Nov 07 2006