|
| |
|
|
A067640
|
|
Table T(n,k) giving number of two-legged knot diagrams with n >= 0 self-intersections and k >= 0 tangencies, read by antidiagonals.
|
|
8
| |
|
|
1, 2, 2, 8, 20, 10, 42, 174, 210, 70, 260, 1504, 2992, 2352, 588, 1796, 13300, 37100, 47820, 27720, 5544, 13396, 120744, 433620, 784672, 742296, 339768, 56628, 105706, 1122198, 4928798, 11515714, 15294006, 11376554, 4294290
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
LINKS
| J. L. Jacobsen and P. Zinn-Justin, A Transfer Matrix approach to the Enumeration of Knots
|
|
|
EXAMPLE
| Table begins
1 2 10 70 588 ...
2 20 210 2352 ...
8 174 2992 47820 ...
|
|
|
CROSSREFS
| Columns give A054993, A067641, A067642, A067643, rows give A005568, A067636, A067638, A067639.
Sequence in context: A175395 A169888 A168506 * A098277 A080040 A060823
Adjacent sequences: A067637 A067638 A067639 * A067641 A067642 A067643
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Feb 05 2002
|
|
|
EXTENSIONS
| More terms from Larry Reeves (larryr(AT)acm.org), Apr 08 2002
|
| |
|
|