right is

1, 1, 2, 4, 9, 20, 48, 115,..

My mistake was for n = 7:
Your think that there
f(7) = f(6) + f(5)*f(1) + f(4)*f(2) + f(3)*f(3) + f(4)*f(1)*f(1) + ...

But correct is:

f(7) = f(6) + f(5)*f(1) + f(4)*f(2) + f(3)*(f(3)+1)/2! + f(4)*f(1)*(f(1)+1)/2! + ...

so we will take not f(3)*f(3) = 2*2 = 4, but f(3)*(f(3)+1)/2! = 2*(2+1)/2! = 3, and f(7) = 48.

Edited by author 04.11.2005 18:12