|
Search: id:A129704
|
|
|
| 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
|
Adjacent sequences: A129701 A129702 A129703 this_sequence A129705 A129706 A129707
Sequence in context: A123521 A123246 A122518 this_sequence A057785 A118686 A102610
|
|
KEYWORD
|
uned,sign
|
|
AUTHOR
|
Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 01 2007
|
|
|
Search completed in 0.002 seconds
|
