A124555 - OEIS

%I #5 Mar 13 2015 22:41:46

%S 1,5,40,385,4345,57876,926340,18088835,434349525,12879458545,

%T 473368667181,21628231535280,1231043822730950,87448787189791250,

%U 7764880712865963895,862911010853538242176,120154448960730327164325

%N Row 5 of table A124550; also equals the self-convolution 5th power of A124565, which is row 5 of table A124560.

%C In table A124550, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = [ Sum_{k>=0} y^k * R_{n*k}(y) ]^n for n>=0.

%F G.f.: A(x) = [ Sum_{k>=0} y^k * R_{5k}(y) ]^5, where R_n(x) is the g.f. of row n in table A124550.

%Y Cf. A124550; other rows: A124551, A124552, A124553, A124554, A124556.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Nov 07 2006