A124564 - OEIS

%I #5 Mar 14 2015 11:57:22

%S 1,1,5,35,317,3634,52199,928608,20282765,543008771,17866390922,

%T 725141498506,36439677332431,2274854774699772,176901777097180896,

%U 17172973623970540220,2084722855480792814909,316912193519759976734613

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

%C 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 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 Cf. A124560 (table); other rows: A124551, A124562, A124563, A124565, A124566.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Nov 07 2006