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Search: id:A078997
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| A078997 |
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Nonzero coefficients of the polynomials in the denominator 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, -1, 1, 1, 2, -1, -2, 1, 1, 3, -5, 3, -1, 1, 4, 2, -8, -5, 8, 2, -4, 1, 1, 5, 5, -10, -15, 11, 15, -10, -5, 5, -1, 1, 6, 9, -10, -30, 6, 41, -6, -30, 10, 9, -6, 1, 1, 7, 14, -7, -49, -14, 77, 29, -77, -14, 49, -7, -14, 7, -1, 1, 8, 20, -70, -56, 112, 120, -125, -120, 112, 56, -70, 20, -8, 1
(list; table; graph; listen)
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OFFSET
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0,5
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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 nonzero coefficients of the first 3 polynomials in the denominator starting with the highest power of x: -1,-1,1; 1,2,-1,-2,1; 1,3,-5,3,-1; ...
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CROSSREFS
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Adjacent sequences: A078994 A078995 A078996 this_sequence A078998 A078999 A079000
Sequence in context: A137278 A139368 A134303 this_sequence A024680 A083531 A003417
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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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