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 Unique Necklaces (Posted on 2004-08-18)

There is no clasp to identify a specific point on the chain, and a flipped over necklace is still the same necklace.
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To get you started:

With 1 bead, the necklace can be either 1 black or 1 white bead.

With 2 beads, the necklace can be either 2 black, 2 white, or 1 black-1 white

With 3 beads, the necklace can be either 3 black, 3 white, 2 black-1 white, 2 white-1 black, etc...

```# Beads  Number of Necklaces
1          2
2          3
3          4
4          6
5          8
6         13
```

 No Solution Yet Submitted by SilverKnight Rating: 4.0000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(5): There is an error is this puzzle | Comment 9 of 15 |
(In reply to re(4): There is an error is this puzzle by Penny)

Penny: Your number of 14 is correct for 6-bead necklaces that can't be flipped over. See

http://mathworld.wolfram.com/Necklace.html

 Posted by Richard on 2004-08-19 21:00:57

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