

A172293


a(n) = number of prime knots with determinant 2n+1 and signature 0.


9



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

0,5


REFERENCES

Peter R. Cromwell, Knots and Links, Cambridge University Press, 2004. See p. 146, Fig. 6.6.


LINKS

Table of n, a(n) for n=0..30.


EXAMPLE

a(0) = 1 because the only prime knot with determinant 2*0+1=1 and s=0 is 0_1, the unknot.
a(2) = 1 because the only prime knot with determinant 2*2+1=5 and s=0 is 4_1, the figure8 knot.
a(4) = 3 because the three prime knot with determinant 2*4+1=9 and s=0 are 6_1, 8_20, and 9_46.


CROSSREFS

Cf. A002863.
First column of A172184.
Sequence in context: A166243 A118514 A190544 * A161970 A230446 A260737
Adjacent sequences: A172290 A172291 A172292 * A172294 A172295 A172296


KEYWORD

nonn,more


AUTHOR

Jonathan Vos Post, Nov 20 2010


EXTENSIONS

Partially edited by N. J. A. Sloane, Jun 10 2019


STATUS

approved



