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A316270 Number of tricolorable prime knots with n minimal crossings. 0
0, 0, 0, 1, 0, 0, 1, 2, 8, 21, 62, 210, 779, 3799 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,8
LINKS
Y. Kiriu and K. Ouchi, Various Functions of Mathematica about the Knot Theory, 2007. [dead link]
C. Livingston and A. H. Moore, KnotInfo: Table of Knot Invariants.
EXAMPLE
For n = 7, a(7)=2 because only 2 prime knots with minimal crossing number 7 are tricolorable: 7_4 and 7_7.
CROSSREFS
Cf. A002863 (Number of prime knots with n crossings).
Sequence in context: A143229 A123285 A143212 * A219970 A107361 A185309
KEYWORD
nonn,hard,more
AUTHOR
EXTENSIONS
a(11)-a(13) using KnotInfo (taking the knots with determinant a multiple of 3) added by Andrey Zabolotskiy, Apr 29 2024
STATUS
approved

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Last modified July 18 12:17 EDT 2024. Contains 374378 sequences. (Running on oeis4.)