[seqfan] Re: Breaking news on partition numbers.

[peter.luschny]

Traditionally the lattice of integer partitions is displayed
as a Hasse diagram of Young's lattice (see[1]).

Following the advice of Ken Ono to look for fractal structures
and after observing the partition models of Omar E. Pol
I tried to organize the partitions as simple as possible
in the hope that some 'fractal structure' can be visualized
somehow. Clearly this is nothing but a very naïve way
to play with this idea; nonetheless it was fun to give it a try.
The first ten rows are now in the appendix of [1].

See there what the significance of this sequence is
11,22,33,222,44,2222,332,333,55,... or prime encoded:
6,36,216,900,1296,44100,5400,27000,7776...

Cheers, Peter

[1] http://oeis.org/wiki/User:Peter_Luschny/IntegerPartitionTrees