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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
OFFSET
0,2
LINKS
J. L. Jacobsen and P. Zinn-Justin, A Transfer Matrix approach to the Enumeration of Knots, arXiv:math-ph/0102015, 2001-2002.
EXAMPLE
Table begins
1 2 10 70 588 5544 56628 ...
2 20 210 2352 27720 339768 4294290 ...
8 174 2992 47820 742296 11376554 173401952 ...
42 1504 37100 784672 15294006 283730240 5095814988 ...
260 13300 433620 11515714 271846056 5947557516 123429078160 ...
1796 120744 4928798 158295072 4403552940 111289501120 2626033507768 ...
...
CROSSREFS
Sequence in context: A169888 A168506 A208966 * A098277 A242658 A080040
KEYWORD
nonn,tabl
AUTHOR
N. J. A. Sloane, Feb 05 2002
EXTENSIONS
More terms from Larry Reeves (larryr(AT)acm.org), Apr 08 2002
STATUS
approved