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A129704 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. +0
1
-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)
OFFSET

1,4

COMMENT

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).

LINKS

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

FORMULA

Series expansion coefficiencts of : p[x]=1/(x^5 - 2*x^4 + x^3 - 2*x^2 + x - 1)

MATHEMATICA

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}]

CROSSREFS

Sequence in context: A123521 A123246 A122518 this_sequence A144460 A057785 A158471

Adjacent sequences: A129701 A129702 A129703 this_sequence A129705 A129706 A129707

KEYWORD

uned,sign

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 01 2007

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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