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A018240
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Rational knots with n crossings (up to mirroring).
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5
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1, 1, 2, 3, 7, 12, 24, 45, 91, 176, 352, 693, 1387, 2752
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OFFSET
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3,3
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COMMENTS
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Identical through a(13) = 352 with Two-bridge Knots of crossing number n, in Table 1: Number of knots having two-bridged Conway polynomials, of Koseleff.
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REFERENCES
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E. Ernst and D. W. Sumners, "The growth of the number of prime knots", Math. Proc. Cambridge Philos. Soc. vol. 102 pages 303-315.
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LINKS
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Table of n, a(n) for n=3..16.
P. -V. Koseleff, D. Pecker, Conway polynomials of two-bridge links, Nov 27, 2010.
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CROSSREFS
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There is a conjecture that this is the same as A090596.
Sequence in context: A198486 A036538 A108742 * A090596 A054272 A129016
Adjacent sequences: A018237 A018238 A018239 * A018241 A018242 A018243
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KEYWORD
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nice,nonn
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AUTHOR
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Alexander Stoimenow (stoimeno(AT)math.toronto.edu)
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STATUS
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approved
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