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Search: id:A099445
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A099445 An Alexander sequence for the Miller Institute knot. +0
2
1, 3, 6, 12, 25, 54, 117, 252, 542, 1167, 2514, 5415, 11662, 25116, 54093, 116502, 250913, 540396, 1163862, 2506635, 5398594, 11627067, 25041462, 53932332, 116155217, 250165974, 538787805, 1160398812, 2499175726, 5382528183 (list; graph; listen)
OFFSET

0,2

COMMENT

The denominator is a parameterisation of the Alexander polynomial for the knot 6_2 (Miller Institute knot). The g.f. is the image of that of Fib(2n+2) 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/(1-3x+3x^2-3x^3+x^4); a(n)=A099444(n)-A099444(n-2).

CROSSREFS

Cf. A001906.

Sequence in context: A068425 A136444 A077854 this_sequence A004067 A092886 A135035

Adjacent sequences: A099442 A099443 A099444 this_sequence A099446 A099447 A099448

KEYWORD

easy,nonn

AUTHOR

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

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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