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A014019 Inverse of 10th cyclotomic polynomial. +0
4
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; listen)
OFFSET

0,1

COMMENT

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

LINKS

The Rolfsen Knot Table

FORMULA

G.f. : 1/(1-x+x^2-x^3+x^4) - Paul Barry (pbarry(AT)wit.ie), Oct 16 2004

MAPLE

with(numtheory, cyclotomic); c := n->series(1/cyclotomic(n, x), x, 80);

CROSSREFS

Cf. A099443.

Adjacent sequences: A014016 A014017 A014018 this_sequence A014020 A014021 A014022

Sequence in context: A016339 A016379 A010891 this_sequence A016349 A016392 A016336

KEYWORD

sign

AUTHOR

Simon Plouffe (plouffe(AT)math.uqam.ca)

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Last modified October 9 14:06 EDT 2008. Contains 144831 sequences.


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