|
|
A059739
|
|
Triangle T(n,k), n >= 1, giving number of prime unoriented alternating links with n crossings and k components.
|
|
4
|
|
|
0, 0, 1, 1, 1, 1, 2, 1, 3, 3, 2, 7, 6, 1, 18, 14, 6, 1, 41, 42, 12, 1, 123, 121, 43, 9, 1, 367, 384, 146, 17, 1, 1288, 1408, 500, 100, 11, 1, 4878, 5100, 2074, 341, 23, 1, 19536, 21854, 8206, 1556, 181, 13, 1, 85263, 92234, 37222, 7193, 653, 29, 1, 379799, 427079, 172678, 33216, 3885, 301, 16, 1, 1769979, 2005800, 829904, 173549, 19122, 1129, 36, 1, 8400285, 9716848, 4194015, 876173, 105539, 8428, 471, 19, 1, 40619385, 48184018, 21207695, 4749914, 599433, 43513, 1813, 43, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,7
|
|
COMMENTS
|
A link is a not necessarily connected knot. Apart from the initial rows, the n-th row contains floor(n/2) terms.
|
|
REFERENCES
|
Ortho Flint, Bruce Fontaine and Stuart Rankin, The master array of a prime alternating link, preprint, 2007
|
|
LINKS
|
|
|
EXAMPLE
|
First few rows of irregular triangle:
0
0 1
1
1 1
2 1
3 3 2
7 6 1
18 14 6 1
41 42 12 1
...
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,tabf,nice
|
|
AUTHOR
|
|
|
EXTENSIONS
|
Terms for the 20-, 21-, 22- and 23-crossing prime alternating links (see the b-file) added Nov 03 2007 by Stuart Rankin, Ortho Flint and Bruce Fontaine
|
|
STATUS
|
approved
|
|
|
|