[seqfan] Array of "higher order" Landau-function sequences.

[Antti Karttunen]

Hello all,

would this kind of array make any sense:

As the first row we have Landau's function http://oeis.org/A000793

as the second row a sequence giving the function for the maximum value
of LCM(A000793(n),LCM_of_some_partition_of(n))
(where "some_partition" is for n>3 some other partition than which
maximized the value for the same n, i.e. that which Landau's function
"used").

as the third row a sequence giving the function for the maximum value
of LCM(that_previous_second_row(n),LCM_of_some_partition_of(n)),
etc.

It should be clear that every column will eventually set to a constant
value, after all the available partitions of n "have been exhausted".

Sequence A225558 I just submitted (or some of its referents) might
have something to do with this, or more probably not. As usual, I
can't think clearly now.


Yours cordially,

Antti Karttunen