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Search: id:A099461
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A099461 An Alexander sequence for the knot 9_48. +0
3
1, 7, 38, 196, 1001, 5110, 26093, 133252, 680510, 3475339, 17748434, 90640627, 462898478, 2364006148, 12072895733, 61655851222, 314874250049, 1608051650884, 8212262868470, 41939735818687, 214184746483778 (list; graph; listen)
OFFSET

0,2

COMMENT

The denominator is a parameterisation of the Alexander polynomial for the knot 9_48. The g.f. is the image of the g.f. of A099459 under the modified Chebyshev transform A(x)->(1/(1+x^2)^2)A(x/(1+x^2)).

LINKS

Dror Bar-Natan, The Rolfsen Knot Table

FORMULA

G.f.: 1/(1-7x+11x^2-7x^3+x^4); a(n)=A009460(n)-A099460(n-2).

CROSSREFS

Sequence in context: A014827 A141845 A048437 this_sequence A104553 A027241 A056197

Adjacent sequences: A099458 A099459 A099460 this_sequence A099462 A099463 A099464

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Oct 16 2004

page 1

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Last modified December 5 08:23 EST 2009. Contains 170348 sequences.


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