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A014019
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Inverse of 10th cyclotomic polynomial.
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3
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1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1, 1, 0, 0, 0, -1, -1, 0, 0, 0, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| The g.f. is the image of the g.f. of Fib(n+1) by the transform A(x)->(1/(1+x^2)^2)A(x/(1+x^2)). The denominator is associated to the knots 4_1 and 5_1 by their Alexander and Jones polynomials respectively. - Paul Barry (pbarry(AT)wit.ie), Oct 16 2004
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LINKS
| Dror Bar-Natan, The Rolfsen Knot Table
Index to sequences with linear recurrences with constant coefficients, signature (1,-1,1,-1)
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FORMULA
| G.f. : 1/(1-x+x^2-x^3+x^4) - Paul Barry (pbarry(AT)wit.ie), Oct 16 2004
a(n)=(1/10)*{-(n mod 10)-[(n+3) mod 10]+[(n+5) mod 10]+[(n+8) mod 10]}, Paolo P. Lava, Mar 10 2011.
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MAPLE
| with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);
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CROSSREFS
| Cf. A099443.
Sequence in context: A016339 A016379 A010891 * A016349 A016392 A016336
Adjacent sequences: A014016 A014017 A014018 * A014020 A014021 A014022
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KEYWORD
| sign
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AUTHOR
| Simon Plouffe (simon.plouffe(AT)gmail.com)
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