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Search: id:A078991
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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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+0
1
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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; listen)
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OFFSET
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0,6
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FORMULA
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f(x)^(n), for n=0, 1, 2, 3, 4, . . ., where f(x)= x/(1-x-x^2)
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EXAMPLE
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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
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Sequence in context: A020853 A095832 A036044 this_sequence A021833 A049257 A054877
Adjacent sequences: A078988 A078989 A078990 this_sequence A078992 A078993 A078994
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KEYWORD
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sign,tabl
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AUTHOR
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Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 12 2003
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