A078692 - OEIS

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.

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, 16, -8, 1, 1, -10, 30, 5, -160, 128, 330, -340, -340, 330, 128, -160, 5, 30, -10, 1, 1, -12, 48, -34, -240, 468, 399, -1416, -192, 2020, -192, -1416, 399, 468, -240, -34, 48, -12, 1

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..67.

FORMULA

(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, ...

EXAMPLE

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; # see A007598

1,-4,0,10,-4,1; # see A169630

...

CROSSREFS

Sequence in context: A360625 A157654 A357437 * A273432 A284343 A033151

Adjacent sequences: A078689 A078690 A078691 * A078693 A078694 A078695

KEYWORD

sign,tabf

AUTHOR

Mohammad K. Azarian, Feb 01 2003

STATUS

approved