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A172486
Number of prime knots up to nine crossings with determinant 2n+1 and signature 6.
3
0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1
OFFSET
0
COMMENTS
Adapted from Figure 6.6. The prime knots up to nine crossings separated by signature and determinant, p. 146, Cromwell. Fourth column of A172184. The fifth column of that table has only one entry, determinant = 9, signature = 8, knot is 9_1.
REFERENCES
Peter R. Cromwell, Knots and Links, Cambridge University Press, 2004.
EXAMPLE
a(1) = 1 because the only prime knot with determinant 2*1+1=3 and s=6 is 8_19.
a(3) = 1 because the only prime knot with determinant 2*3+1=7 and s=6 is 7_1
KEYWORD
nonn,fini,full
AUTHOR
Jonathan Vos Post, Nov 20 2010
STATUS
approved