A079461 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 constant.

0, 1, 1, 0, 1, -2, -6, 0, -2, 12, 24, 36, 0, 6, -72, -240, -240, -240, 0, -24, 600, 2160, 3600, 2400, 1800, 0, 120, -5760, -25200, -45360, -50400, -25200, -15120, 0, -720, 65520, 322560, 705600, 846720, 705600, 282240, 141120, 0, 5040

Offset

0,6

Links

Table of n, a(n) for n=0..43.

Formula

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

Example

The coefficients of the first 3 polynomials starting with the constant term are: 0,1; 1,0,1; -2,-6,0,-2; ...

Crossrefs

Row sums: see A052568.

Sequence in context: A080730 A232178 A016590 * A220233 A084897 A021388

Adjacent sequences: A079458 A079459 A079460 * A079462 A079463 A079464

Keyword

sign,tabf

Author

Mohammad K. Azarian, Jan 12 2003

Status

approved