Search: id:A099859
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%I A099859
%S A099859 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,
%T A099859 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,
%U A099859 0,1,1,1,1,0,0,0,1,1,1,1
%V A099859 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,
%W A099859 -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,
%X A099859 0,0,-1,-1,-1,-1
%N A099859 A Chebyshev transform of A006053 related to the knot 7_1.
%C A099859 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.
%F A099859 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)}.
%Y A099859 Cf. A099860.
%Y A099859 Sequence in context: A022930 A068344 A138886 this_sequence A102460 A080908 
               A131720
%Y A099859 Adjacent sequences: A099856 A099857 A099858 this_sequence A099860 A099861 
               A099862
%K A099859 easy,sign
%O A099859 0,1
%A A099859 Paul Barry (pbarry(AT)wit.ie), Oct 28 2004

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