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A086825 Number of knots (prime or composite) with n crossings. 2
1, 0, 0, 1, 1, 2, 5, 8, 25 (list; graph; refs; listen; history; internal format)
OFFSET

0,6

LINKS

S. R. Finch, Knots, links and tangles

Eric Weisstein's World of Mathematics, Knot

EXAMPLE

a(7)=8 since we have 7 prime knots and one composite knot (the connected sum 3_1#4_1 of the trefoil knot 3_1 and the figure eight knot 4_1). Note that 3_1*#4_1=3_1#4_1, where * denotes mirror image because 4_1 is achiral. a(8)=25 since we have 21 prime knots and four composites (3_1#5_1, 3_1#5_2, 3_1*#5_1 and 3_1*#5_2).

CROSSREFS

Cf. A002863.

Sequence in context: A088144 A100501 A142869 * A192476 A093365 A128600

Adjacent sequences:  A086822 A086823 A086824 * A086826 A086827 A086828

KEYWORD

nonn

AUTHOR

S. R. Finch (Steven.Finch(AT)inria.fr), Aug 07 2003

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Last modified February 17 16:36 EST 2012. Contains 206058 sequences.