%I #3 Mar 30 2012 18:36:39
%S 1,1,-2,10,-80,1000,-21872,977584,-96293648,20624493808,
%T -9328274380160,8744603171127040,-16802076392609925440,
%U 65695424926762378460992,-520141011157056880989068672
%N G.f. A(x) satisfies: 1+x = A(xA(2xA(3xA(4xA(...(n*xA(...))))))).
%e A(xA(2xA(3xA(4x)))) = 1 + x - 120x^5 + 5280x^6 - 192000x^7 +-...
%e A(xA(2xA(3xA(4xA(5x))))) = 1 + x - 720x^6 + 46800x^7 - 2332800x^8 +-...
%e A(xA(2xA(...(n-2)xA((n-1)x)))) = 1 + x - n!x^n + (n-1)(2n+1)n!x^(n+1) -+...
%K sign
%O 0,3
%A _Paul D. Hanna_, Sep 26 2003