[seqfan] Re: Breaking news on partition numbers.

Omar E. Pol info at polprimos.com
Mon Jan 24 23:41:06 CET 2011

Dear seqfans,

I've drawn another version of the model which is a visualization of the 
connections between these sequences and other sequences related to the 
structure of the partitions, for example A182746 and A182747. The model looks 
like a three-dimensional tree where each branch is the head of the outer 
shell of the partitions of n. One of the views of the 3D-model shows 
the "branches " of even numbers tilted 45 degrees to the right and 
the "branches"of the odd numbers tilted 45 degrees to the left. The other 
view contains the tables of both A182742 and A182743. The last view shows the 
bi-dimensiona table of partitions of A135010. Also, the parts of each 
partition can be represented with geometric figures connected with the number 
Pi. Also, each partition can be represented as a wave.
Could someone add tables to the following entries, please? 
A141285, A182730, A182731, A182732, A182733. 
I would like to see the graphics!
Question: Is there some connection with fractals?

Omar E. Pol

>Charles Greathouse wrote:
>Can you explain why those sequences are interesting?
>is a fine illustration of A000041, but I don't immediately see the
>value of these sequences.

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