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A079045 Coefficients of the polynomials in the numerator 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 constant. 1

%I #9 Jun 22 2013 16:05:49

%S 0,1,-1,1,-2,4,-2,1,2,12,-24,34,-24,6,-2,24,24,156,-384,450,-336,144,

%T -24,6,216,840,-480,2640,-7080,8592,-6360,3120,-960,120,-24,3000,

%U 10080,16920,-37200,72000,-154800,198360,-156960,82800,-30000,7200,-720,120

%N Coefficients of the polynomials in the numerator 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 constant.

%F (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 The coefficients of the first 2 polynomials in the numerator 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 constant: 0,1,-1; 1,-2,4,-2,1; . ...

%Y Cf. A079046.

%K sign,tabf

%O 0,5

%A _Mohammad K. Azarian_, Feb 01 2003

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Last modified April 24 16:49 EDT 2024. Contains 371962 sequences. (Running on oeis4.)