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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 (list; graph; refs; listen; history; text; internal format)
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
Sequence in context: A174479 A134269 A335622 * A277146 A353460 A026611
KEYWORD
nonn,fini,full
AUTHOR
Jonathan Vos Post, Nov 20 2010
EXTENSIONS
Edited by Andrey Zabolotskiy, Apr 29 2024
STATUS
approved

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Last modified July 17 05:50 EDT 2024. Contains 374360 sequences. (Running on oeis4.)