%I A078997
%S A078997 1,1,1,1,2,1,2,1,1,3,5,3,1,1,4,2,8,5,8,2,4,1,1,5,5,10,15,11,15,10,5,5,
               1,
%T A078997 1,6,9,10,30,6,41,6,30,10,9,6,1,1,7,14,7,49,14,77,29,77,14,49,7,14,7,1,
%U A078997 1,8,20,70,56,112,120,125,120,112,56,70,20,8,1
%V A078997 -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,-15,11,
               15,-10,-5,5,-1,
%W A078997 1,6,9,-10,-30,6,41,-6,-30,10,9,-6,1,1,7,14,-7,-49,-14,77,29,-77,-14,49,
               -7,-14,7,-1,1,
%X A078997 8,20,-70,-56,112,120,-125,-120,112,56,-70,20,-8,1
%N A078997 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 A078997 f(x)^(n), for n=0, 1, 2, 3, 4, . . ., where f(x)= x/(1-x-x^2)
%e A078997 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; ...
%Y A078997 Sequence in context: A137278 A139368 A134303 this_sequence A024680 A083531 
               A003417
%Y A078997 Adjacent sequences: A078994 A078995 A078996 this_sequence A078998 A078999 
               A079000
%K A078997 sign,tabl
%O A078997 0,5
%A A078997 Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 12 2003