Knot an easy sequence

Geometry Level 4

What is the sum of the next 3 numbers in this sequence?

0, 0, 1, 1, 2, 3, 7, ...

Hint: The answer does knot cross the mind easily...


The answer is 235.

Shavindra Jayasekera by Shavindra Jayasekera , 21, United Kingdom

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1 solution

This sequence is the number of distinct prime knots with n n crossings.

Therefore, the next numbers in this sequence are 21, 49 and 165. So the sum of the next three numbers in the sequence are 21 + 49 + 165 = 235 21+49+165=235 .

More on prime knots : http://mathworld.wolfram.com/PrimeKnot.html

3 Helpful 0 Interesting 0 Brilliant 0 Confused

This relates to Knot Theory and Topology which can be used in molecular biology (i.e. knots in DNA) and quantum mechanics. i got this info from a book I am currently borrowing from college called "Professor Stewart's Cabinet of mathematical curiosities." It's a good book to dip into interesting parts of maths

Curtis Clement - 5 years, 10 months ago

I'm studying knot theory in graduate school, so I was very excited about this question.

Maggie Miller - 5 years, 10 months ago

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