A086771 - OEIS

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A086771

Prime links (not necessarily connected knots) with n crossings.

0, 1, 1, 2, 3, 9, 16, 50, 132, 452, 1559

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,4

REFERENCES

D. J. A. Welsh, On the number of knots and links, Sets, Graphs and Numbers (Budapest, 1991) 713-718, Colloq. Math. Soc. Janos Bolyai, 60, North-Holland, Amsterdam, 1992.

LINKS

Table of n, a(n) for n=1..11.

D. Bar-Natan, The Hoste-Thistlethwaite Link Table.

S. R. Finch, Knots, links and tangles

S. R. Finch, Knots, links and tangles, Aug 08 2003. [Cached copy, with permission of the author]

Steven R. Finch, Mathematical Constants II, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018, p. 627.

R. G. Scharein, Number of Prime Links.

Eric Weisstein's World of Mathematics, Prime Link

CROSSREFS

Cf. A002863, A048952, A048953, A049344, A086771.

Sequence in context: A011951 A324014 A289452 * A156066 A143890 A270339

Adjacent sequences: A086768 A086769 A086770 * A086772 A086773 A086774

KEYWORD

nonn,nice,more

AUTHOR

Steven Finch, Aug 02 2003

STATUS

approved