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A129903 Expansion of 1/(1+x^2-x^3+x^4). 2
1, 0, -1, 1, 0, -2, 2, 1, -4, 3, 3, -8, 4, 8, -15, 4, 19, -27, 0, 42, -46, -15, 88, -73, -57, 176, -104, -160, 337, -120, -393, 617, -64, -890, 1074, 209, -1900, 1755, 1035, -3864, 2620, 3144, -7519, 3340, 8043, -14003, 2816, 18706, -24862, -1887, 40752, -41681, -17777, 84320, -64656, -60416, 166753, -88560, -162513 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,6
COMMENTS
Expansion of the characteristic polynomial of Jones polynomial for the Solomon knot (L4a1): f(x)=-1/Sqrt[x] + 1/x^{3/2} - 1/x^{5/2} - 1/x^{9/2};
LINKS
Knot atlas, L4a1
MATHEMATICA
f[q_] = -1/Sqrt[q] + 1/q^{3/2} - 1/q^{5/2} - 1/q^{9/2} FullSimplify[ExpandAll[f[q]/Sqrt[q]]]; g[q_] = 1 + q^2 - q^3 + q^4; q[x_] := 1/g[x]; Table[ SeriesCoefficient[Series[q[x], {x, 0, 30}], n], {n, 0, 30}]
LinearRecurrence[{0, -1, 1, -1}, {1, 0, -1, 1}, 70] (* Harvey P. Dale, Oct 27 2018 *)
CROSSREFS
Sequence in context: A177424 A286332 A248755 * A263203 A023616 A276477
KEYWORD
easy,sign
AUTHOR
Roger L. Bagula, Jun 04 2007
STATUS
approved

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Last modified March 29 03:51 EDT 2024. Contains 371264 sequences. (Running on oeis4.)