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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 highest power of x.
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%I #6 Jun 22 2013 16:05:49

%S 1,0,1,0,1,-2,0,-6,-2,6,0,36,24,12,-24,0,-240,-240,-240,-72,120,0,

%T 1800,2400,3600,2160,600,-720,0,-15120,-25200,-50400,-45360,-25200,

%U -5760,5040,0,141120,282240,705600,846720,705600,322560,65520

%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 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 coefficients of the first 3 polynomials starting with the highest power of x are: 1,0; 1,0,1; -2,0,-6,-2; ...

%K sign,tabl

%O 0,6

%A _Mohammad K. Azarian_, Jan 12 2003