

A172444


Number of prime knots up to nine crossings with determinant 2n+1 and signature 4.


5



0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 3, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1
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OFFSET

0,7


COMMENTS

Adapted from Figure 6.6. The prime knots up to nine crossings separated by signature and determinant, p. 146, Cromwell. Third column of A172184.


REFERENCES

Peter R. Cromwell, Knots and Links, Cambridge University Press, November 15, 2004.


LINKS



EXAMPLE

a(2) = 1 because the only prime knot with no more than 9 crossings with determinant 2*2+1=5 and s=4 is 5_1, the Solomon's seal knot.
a(6) = 2 because the only prime knots with no more than 9 crossings with determinant 2*6+1=13 and s=4 are 7_3 and 9_43.


CROSSREFS



KEYWORD

nonn,fini,full


AUTHOR



EXTENSIONS



STATUS

approved



