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Nonzero coefficients of the polynomials in the denominator 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 #12 Jun 22 2013 16:05:49

%S -1,-1,1,1,2,-1,-2,1,1,3,-5,3,-1,1,4,2,-8,-5,8,2,-4,1,1,5,5,-10,-15,

%T 11,15,-10,-5,5,-1,1,6,9,-10,-30,6,41,-6,-30,10,9,-6,1,1,7,14,-7,-49,

%U -14,77,29,-77,-14,49,-7,-14,7,-1,1,8,20,-70,-56,112,120,-125,-120,112,56,-70,20,-8,1

%N Nonzero coefficients of the polynomials in the denominator 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 in the denominator starting with the highest power of x: -1,-1,1; 1,2,-1,-2,1; 1,3,-5,3,-1; ...

%K sign,tabf,less

%O 0,5

%A _Mohammad K. Azarian_, Jan 12 2003