load 'plot'

cu =. #/.~@:(#...@q:) NB. Count Unique

plot cu@:>:@:i."(0) 100,. 1000 ,. 1500 NB. each has a maximum

mcu=. (>./)@:cu@:>:@:i."(0) NB. Max Count Unique
xx =. >: i. 10000

plot f =. mcu >: xx NB. line with some wobbles

NB. take out the 2nd polynomial
c =. f %. xx ^/ i. 3
plot (f - c p. ]) xx
NB. quite an intricate signal.


2009/8/6 Tracy Harms <[email protected]>:
> Having gotten the answer you were looking for,
>
>   #...@q: 1+i.10
> 0 1 1 2 1 2 1 3 2 2
>
> I find myself interested in how many of each of the distinct results
> occur in that range.
> Here's a way to calculate that:
>
>   #/.~ #...@q: 1+i.10
> 1 4 4 1
>
> That is, for the first ten positive integers there's one with zero
> prime factors, four primes, four with two factors, and one with three
> factors.
>
>   #/.~ #...@q: 1+i.100
> 1 25 34 22 12 4 2
> ----------------------------------------------------------------------
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>
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