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A Chebyshev transform of A006053 related to the knot 7_1.

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0, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`The g.f. is the transform of the g.f. of A006053 under the Chebyshev mapping G(x)-> (1/(1+x^2))G(x/(1+x^2)). The denominator of the g.f. is a paramaterisation of the Alexander polynomial of 7_1. It is also the 14th cyclotomic polynomial.`
	FORMULA	`G.f.: x(1+x^2)/(1-x+x^2-x^3+x^4-x^5+x^6); a(n)=sum{k=0..floor(n/2), binomial(n-k, k)(-1)^k*A006053(n-2k)}.`
	CROSSREFS	`Cf. A099860.` `Adjacent sequences: A099856 A099857 A099858 this_sequence A099860 A099861 A099862` `Sequence in context: A022930 A068344 A138886 this_sequence A102460 A080908 A131720`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 28 2004`

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Last modified November 8 20:39 EST 2009. Contains 166234 sequences.

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