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 A099859 A Chebyshev transform of A006053 related to the knot 7_1. 1
 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; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS 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. LINKS 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. Sequence in context: A161382 A138886 A269528 * A176416 A102460 A080908 Adjacent sequences:  A099856 A099857 A099858 * A099860 A099861 A099862 KEYWORD easy,sign AUTHOR Paul Barry, Oct 28 2004 STATUS approved

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Last modified April 20 03:02 EDT 2021. Contains 343121 sequences. (Running on oeis4.)