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 Post subject: Combinatorics questionPosted: Sat, 6 Oct 2007 21:17:56 UTC
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Joined: Sat, 6 Oct 2007 21:09:26 UTC
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How many different partitions of the set {1, 2, ..., n} are there for which each set in the partition only contains adjacent integers? For example, with n=4 we have 8 such partitions of the set {1 2 3 4}, namely;
1. (1) (2) (3) (4)
2. (1 2) (3) (4)
3. (1) (2 3) (4)
4. (1) (2) (3 4)
5. (1 2) (3 4)
6. (1 2 3) (4)
7. (1) (2 3 4)
8. (1 2 3 4).
I want to know the number of such partitions for any arbitrary n.

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 Post subject: Posted: Sat, 6 Oct 2007 23:00:50 UTC
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Joined: Wed, 1 Oct 2003 04:45:43 UTC
Posts: 9642
For arbitrary n, the number of partitions is:

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