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Search: id:A129704
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| A129704 |
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Polynomial expansion signature of Whitehead link Jones Polynomial: 1/j(x)=x^(3/2)/(x^5 - 2*x^4 + x^3 - 2*x^2 + x - 1) The link is designated L5a1. |
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+0
1
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| -1, -1, 1, 2, 1, -1, -4, -4, 3, 10, 7, -6, -20, -18, 12, 47, 39, -27, -100, -89, 53, 224, 202, -115, -490, -453, 232, 1080, 1028, -484, -2377
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Taking out the x^(3/2) gives an integer sequence.
V(t)==t^(-3/2)(-1+t-2t^2+t^3-2t^4+t^5).
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LINKS
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Author?, Title?
Abhijit Champanerkar, Ilya Kofman and Eric Patterson, The next simplest hyperbolic knots, Table 2, page 14
Eric Weisstein's World of Mathematics, Whitehead Link
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FORMULA
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Series expansion coefficiencts of : p[x]=1/(x^5 - 2*x^4 + x^3 - 2*x^2 + x - 1)
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MATHEMATICA
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q[x_] := 1/(x^5 - 2*x^4 + x^3 - 2*x^2 + x - 1) Table[ SeriesCoefficient[Series[q[x], {x, 0, 30}], n], {n, 0, 30}]
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CROSSREFS
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Sequence in context: A123521 A123246 A122518 this_sequence A144460 A057785 A158471
Adjacent sequences: A129701 A129702 A129703 this_sequence A129705 A129706 A129707
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KEYWORD
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uned,sign
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 01 2007
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