Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A099455
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A099455 An Alexander sequence for the knot 8_12. +0
3
1, 7, 36, 168, 755, 3346, 14747, 64848, 284892, 1251103, 5493314, 24118255, 105887532, 464877504, 2040939083, 8960260498, 39337870403, 172703402424, 758212386132, 3328747303735, 14614056052994, 64159460722903 (list; graph; listen)
OFFSET

0,2

COMMENT

The denominator is a parameterisation of the Alexander polynomial for the knot 8_12. The g.f. is the image of the g.f. of A099453 under the modified Chebyshev transform A(x)->(1/(1+x^2)^2)A(x/(1+x^2)).

LINKS

The Rolfsen Knot Table

FORMULA

G.f.: 1/(1-7x+13x^2-7x^3+x^4); a(n)=A099454(n)-A099454(n-2).

CROSSREFS

Sequence in context: A095931 A026856 A038748 this_sequence A102053 A058681 A110310

Adjacent sequences: A099452 A099453 A099454 this_sequence A099456 A099457 A099458

KEYWORD

easy,nonn

AUTHOR

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

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


AT&T Labs Research