A078997 - OEIS

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.

-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, 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, 8, 20, -70, -56, 112, 120, -125, -120, 112, 56, -70, 20, -8, 1

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OFFSET

0,5

LINKS

Table of n, a(n) for n=0..75.

FORMULA

f(x)^(n), for n=0, 1, 2, 3, 4, . . ., where f(x)= x/(1-x-x^2)

EXAMPLE

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; ...

CROSSREFS

Sequence in context: A139368 A266506 A134303 * A024680 A083531 A003417

Adjacent sequences: A078994 A078995 A078996 * A078998 A078999 A079000

KEYWORD

sign,tabf,less

AUTHOR

Mohammad K. Azarian, Jan 12 2003

STATUS

approved