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A124566 Row 6 of table A124560; also, the self-convolution 6th power equals A124556, which is row 6 of table A124550.

%I A124566 #5 Mar 13 2015 00:44:30
%S A124566 1,1,7,70,891,14036,272914,6525900,190604859,6781448755,294798563020,
%T A124566 15737487680990,1036588563202854,84606134756948277,
%U A124566 8587502188940359207,1086820294948914428468,171866738763640156327659
%N A124566 Row 6 of table A124560; also, the self-convolution 6th power equals A124556, which is row 6 of table A124550.
%C A124566 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 A124566 G.f.: A(x) = Sum_{k>=0} y^k * [R_{6k}(y)]^(6k), where R_n(x) is the g.f. of row n in table A124560.
%Y A124566 Cf. A124560 (table); other rows: A124551, A124562, A124563, A124564, A124565.
%K A124566 nonn
%O A124566 0,3
%A A124566 _Paul D. Hanna_, Nov 07 2006