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A124563 Row 3 of table A124560; also, the self-convolution cube equals A124553, which is row 3 of table A124550.

%I A124563 #3 Mar 30 2012 18:37:01
%S A124563 1,1,4,22,158,1455,16918,244644,4361883,95746603,2592416878,
%T A124563 86825876398,3607980811184,186517056299848,12022039151786966,
%U A124563 967930783674722085,97490785254375447744,12299113367136495834881,1945525636812103772634604
%N A124563 Row 3 of table A124560; also, the self-convolution cube equals A124553, which is row 3 of table A124550.
%C A124563 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 A124563 G.f.: A(x) = Sum_{k>=0} y^k * [R_{3k}(y)]^(3k), where R_n(x) is the g.f. of row n in table A124560.
%Y A124563 Cf. A124560 (table); other rows: A124551, A124562, A124564, A124565, A124566.
%K A124563 nonn
%O A124563 0,3
%A A124563 _Paul D. Hanna_, Nov 07 2006