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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. +0
9
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; listen)
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.

Adjacent sequences: A067637 A067638 A067639 this_sequence A067641 A067642 A067643

Sequence in context: A085542 A009725 A053098 this_sequence A098277 A080040 A060823

KEYWORD

nonn,tabl

AUTHOR

njas, Feb 05 2002

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Apr 08 2002

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Last modified October 15 20:12 EDT 2008. Contains 145099 sequences.


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