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A078692
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Coefficients of polynomials in the denominator 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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1
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1, -2, -2, 1, 1, -4, 0, 10, -4, 1, 1, -6, 6, 19, -24, -24, 19, 6, -6, 1, 1, -8, 16, 20, -80, -8, 134, -8, -80, 20, 16, -8, 1, 1, -10, 30, 5, -160, 128, 330, -340, -340, 330, 128, -160, 5, 30, -10, 1, 1, -12, 48, -34, -240, 468, 399, -1416, -192, 2020, -192, -1416, 399, 468, -240, -34, 48, -12, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| (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
| The coefficients of the first 2 polynomials in the denominator 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,-2,-2,1; # see A007598
1,-4,0,10,-4,1; # see A169630
...
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CROSSREFS
| Sequence in context: A092113 A045995 A157654 * A033151 A046079 A165509
Adjacent sequences: A078689 A078690 A078691 * A078693 A078694 A078695
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KEYWORD
| sign,tabf
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AUTHOR
| Mohammad K. Azarian (azarian(AT)evansville.edu), Feb 01 2003
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