A078992 - OEIS

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A078992

Nonzero coefficients of the polynomials in the numerator 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, -2, -6, -2, 6, 36, 24, 12, -24, -240, -240, -240, -72, 120, 1800, 2400, 3600, 2160, 600, -720, -15120, -25200, -50400, -45360, -25200, -5760, 5040, 141120, 282240, 705600, 846720, 705600, 322560, 65520

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..35.

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 starting with the highest power of x are: 1; 1,1; -2,-6,-2; ...

CROSSREFS

Sequence in context: A151705 A170861 A229578 * A062321 A229479 A086356

Adjacent sequences: A078989 A078990 A078991 * A078993 A078994 A078995

KEYWORD

sign,tabl

AUTHOR

Mohammad K. Azarian, Jan 12 2003

STATUS

approved