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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.
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%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