A124553 - OEIS

%I #3 Mar 30 2012 18:37:01

%S 1,3,15,91,666,5955,65794,901881,15346419,324465907,8535776700,

%T 279761994750,11438401220798,584130591952902,37300812251856828,

%U 2981666324471342976,298639111371493692105,37510558656296021069859

%N Row 3 of table A124550; also equals the self-convolution cube of A124563, which is row 3 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_{3k}(y) ]^3, where R_n(x) is the g.f. of row n in table A124550.

%Y Cf. A124550; other rows: A124551, A124552, A124554, A124555, A124556.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Nov 07 2006