login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A172441 Number of prime knots up to nine crossings with determinant 2n+1 and signature 2. 5

%I #8 Dec 29 2012 18:02:27

%S 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

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

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

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

%e a(1) = 1 because the only prime knot with determinant 2*1+1=3 and s=2 is 3_1, the left-handed trefoil.

%e a(3) = 2 because the only prime knots with determinant 2*3+1=7 and s=2 are 5_2 and 9_42.

%Y A002863, A172184, A172293.

%K nonn

%O 0,4

%A _Jonathan Vos Post_, Nov 20 2010

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 16 12:52 EDT 2024. Contains 371711 sequences. (Running on oeis4.)