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A078991
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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.
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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
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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FORMULA
| f(x)^(n), for n=0, 1, 2, 3, 4, . . ., where f(x)= x/(1-x-x^2)
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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; ...
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CROSSREFS
| Sequence in context: A143381 A140876 A036044 * A021833 A196072 A049257
Adjacent sequences: A078988 A078989 A078990 * A078992 A078993 A078994
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KEYWORD
| sign,tabl
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AUTHOR
| Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 12 2003
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