%I A078692
%S A078692 1,2,2,1,1,4,0,10,4,1,1,6,6,19,24,24,19,6,6,1,1,8,16,20,80,8,134,8,80,
%T A078692 20,16,8,1,1,10,30,5,160,128,330,340,340,330,128,160,5,30,10,1,1,12,48,
%U A078692 34,240,468,399,1416,192,2020,192,1416,399,468,240,34,48,12,1
%V A078692 1,-2,-2,1,1,-4,0,10,-4,1,1,-6,6,19,-24,-24,19,6,-6,1,1,-8,16,20,-80,-8,
               134,-8,-80,20,
%W A078692 16,-8,1,1,-10,30,5,-160,128,330,-340,-340,330,128,-160,5,30,-10,1,1,-12,
               48,-34,-240,
%X A078692 468,399,-1416,-192,2020,-192,-1416,399,468,-240,-34,48,-12,1
%N A078692 Coefficients of polynomials in the denominator of the generating function 
               f(x)=(x-x^2)/(x^3-2x^2-2x+1) for F(n)^2 (where F(n) is the Fibonacci 
               sequence) and its successive derivatives starting with the highest 
               power of x.
%F A078692 (d^(n)/d(x^n))f(x), where f(x)=(x-x^2)/(x^3-2x^2-2x+1), for n=0, 1, 2, 
               3, ...
%e A078692 The coefficients of the first 2 polynomials in the denominator of the 
               generating function f(x)=(x-x^2)/(x^3-2x^2-2x+1) for F(n)^2, (where 
               F(n) is the Fibonacci sequence) and its successive derivatives starting 
               with the highest power of x: 1,-2,-2,1; 1,-4,0,10,-4,1; ...
%Y A078692 Sequence in context: A092113 A045995 A157654 this_sequence A033151 A046079 
               A165509
%Y A078692 Adjacent sequences: A078689 A078690 A078691 this_sequence A078693 A078694 
               A078695
%K A078692 sign,tabl
%O A078692 0,2
%A A078692 Mohammad K. Azarian (azarian(AT)evansville.edu), Feb 01 2003