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A172441
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Number of prime knots up to nine crossings with determinant 2n+1 and signature 2.
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5
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0, 1, 0, 2, 0, 2, 0, 3, 0, 2, 0, 4, 0, 5, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1
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OFFSET
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0,4
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COMMENTS
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Adapted from Figure 6.6. The prime knots up to nine crossings separated by signature and determinant, p. 146, Cromwell. Second column of A172184.
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REFERENCES
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Peter R. Cromwell, Knots and Links, Cambridge University Press, November 15, 2004.
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LINKS
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EXAMPLE
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a(1) = 1 because the only prime knot with determinant 2*1+1=3 and s=2 is 3_1, the left-handed trefoil.
a(3) = 2 because the only prime knots with determinant 2*3+1=7 and s=2 are 5_2 and 9_42.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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