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Search: id:A079046
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| A079046 |
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Coefficients of the polynomials in the numerator of the generating function f(x)=(x-x^2)/(x^3-2x^2-2x+1) for F(n)^2, (where F(n) is the Fibonacci sequence) and its successive derivatives starting with the highest power of x. |
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+0
2
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| -1, 1, 0, 1, -2, 4, -2, 1, -2, 6, -24, 34, -24, 12, 2, 6, -24, 144, -336, 450, -384, 156, 24, 24, -24, 120, -960, 3120, -6360, 8592, -7080, 2640, -480, 840, 216, 120, -720, 7200, -30000, 82800, -156960, 198360, -154800, 72000, -37200, 16920, 10080, 3000
(list; table; graph; listen)
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OFFSET
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0,5
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FORMULA
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(d^(n)/d(x^n))f(x), where f(x)=(x-x^2)/(x^3-2x^2-2x+1), for n=0, 1, 2, 3, . ...
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EXAMPLE
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The coefficients of the first 2 polynomials in the numerator of the generating function f(x)=(x-x^2)/(x^3-2x^2-2x+1) for F(n)^2, (where F(n) is the Fibonacci sequence) and its successive derivatives starting with the highest power of x: -1,1,0; 1,-2,4,-2,1; . ...
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CROSSREFS
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Cf. A079045.
Adjacent sequences: A079043 A079044 A079045 this_sequence A079047 A079048 A079049
Sequence in context: A132823 A059317 A087266 this_sequence A079045 A021417 A105791
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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), Feb 01 2003
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