A078991 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, 0, 1, 0, 1, -2, 0, -6, -2, 6, 0, 36, 24, 12, -24, 0, -240, -240, -240, -72, 120, 0, 1800, 2400, 3600, 2160, 600, -720, 0, -15120, -25200, -50400, -45360, -25200, -5760, 5040, 0, 141120, 282240, 705600, 846720, 705600, 322560, 65520

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 highest power of x are: 1,0; 1,0,1; -2,0,-6,-2; ...

Crossrefs

Sequence in context: A243997 A036044 A335790 * A346790 A217572 A021833

Adjacent sequences: A078988 A078989 A078990 * A078992 A078993 A078994

Keyword

sign,tabl

Author

Mohammad K. Azarian, Jan 12 2003

Status

approved