[seqfan] Re: a partition sequence

franktaw at netscape.net franktaw at netscape.net
Mon Oct 3 02:43:40 CEST 2011


I'm not convinced that your step (5) is always possible.

I still think it likely that not all partitions can be arranged in this 
way, but it is much harder to find an exception than I first thought.

Franklin T. Adams-Watters

-----Original Message-----
From: David Scambler <dscambler at bmm.com>

Try this algorithm:

1) arrange the parts in columns of like magnitude
2) k <= 1
3) if well-formed stop
4) k <= k+1
5) move column k to underneath left-most column without the frequency 
of column
k
6) go to 3)

e.g.

4^2,3,2^2,1^3

Start:
4321
4.21
...1

Move col 2 under col 1
4.21
4.21
3..1

Move col 3 under col 1

4.2.
4.2.
3...
1...
1...
1...



dave





















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