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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.
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%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