%I #7 Jun 22 2013 16:05:49
%S 1,1,1,-2,-6,-2,6,36,24,12,-24,-240,-240,-240,-72,120,1800,2400,3600,
%T 2160,600,-720,-15120,-25200,-50400,-45360,-25200,-5760,5040,141120,
%U 282240,705600,846720,705600,322560,65520
%N Nonzero 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 highest power of x.
%F f(x)^(n), for n=0, 1, 2, 3, 4, . . ., where f(x)= x/(1-x-x^2)
%e The nonzero coefficients of the first 3 polynomials starting with the highest power of x are: 1; 1,1; -2,-6,-2; ...
%K sign,tabl
%O 0,4
%A _Mohammad K. Azarian_, Jan 12 2003