%I #7 Jun 22 2013 16:05:49
%S 0,1,1,0,1,-2,-6,0,-2,12,24,36,0,6,-72,-240,-240,-240,0,-24,600,2160,
%T 3600,2400,1800,0,120,-5760,-25200,-45360,-50400,-25200,-15120,0,-720,
%U 65520,322560,705600,846720,705600,282240,141120,0,5040
%N Coefficients of the polynomials in the numerator of the generating function x/(1-x-x^2) for the Fibonacci sequence and its successive derivatives starting with the constant.
%F f(x)^(n), for n=0, 1, 2, 3, 4, . . ., where f(x)= x/(1-x-x^2)
%e The coefficients of the first 3 polynomials starting with the constant term are: 0,1; 1,0,1; -2,-6,0,-2; ...
%Y Row sums: see A052568.
%K sign,tabf
%O 0,6
%A _Mohammad K. Azarian_, Jan 12 2003