3D arrays

Rob Arthan rda at lemma-one.com
Mon Oct 27 12:52:02 CET 2003


Dear All,

The sci.math discussions about the card-passing puzzle eventually came up with 
some useful references (look for the thread called something like "puzzle 
relating to artinian group") and I have added two sequences relating to it 
into the OEIS (A88803 and A88804).

These sequences actually give the heights of slices through a 3-dimensional  
array. E.g. for A88804 gives (one less than) the heights of the 2-dimensional 
arrays:

0 2 0
1 0 1

0 0 4 0 0
0 1 2 1 0
0 2 0 2 0
1 0 2 0 1
1 1 0 1 1

0 0 0 6 0 0 0
0 0 1 4 1 0 0
0 0 2 2 2 0 0
0 1 1 2 1 1 0 
0 1 2 0 2 1 0
0 2 1 0 1 2 0
1 0 2 0 2 0 1
1 1 0 2 0 1 1
1 1 1 0 1 1 1

etc.

Are there any precedents for 3-dimensional arrays in the OEIS?

Regards,

Rob.


 






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