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A124564 Row 4 of table A124560; also, the self-convolution 4th power equals A124554, which is row 4 of table A124550.

%I A124564 #5 Mar 14 2015 11:57:22
%S A124564 1,1,5,35,317,3634,52199,928608,20282765,543008771,17866390922,
%T A124564 725141498506,36439677332431,2274854774699772,176901777097180896,
%U A124564 17172973623970540220,2084722855480792814909,316912193519759976734613
%N A124564 Row 4 of table A124560; also, the self-convolution 4th power equals A124554, which is row 4 of table A124550.
%C A124564 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 A124564 G.f.: A(x) = Sum_{k>=0} y^k * [R_{4k}(y)]^(4k), where R_n(x) is the g.f. of row n in table A124560.
%Y A124564 Cf. A124560 (table); other rows: A124551, A124562, A124563, A124565, A124566.
%K A124564 nonn
%O A124564 0,3
%A A124564 _Paul D. Hanna_, Nov 07 2006