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A033941 Number of ways A002808(n) can be properly factored into 2 integers. 1

%I #12 Feb 17 2018 11:54:54

%S 1,1,1,1,1,2,1,1,2,2,2,1,1,3,1,1,1,2,3,2,1,1,1,4,1,1,3,3,2,2,1,4,1,2,

%T 1,2,3,1,3,1,1,5,1,2,3,1,3,2,1,3,5,1,2,2,1,3,4,2,1,5,1,1,1,3,5,1,2,1,

%U 1,1,5,2,2,4,3,3,3,1,5,3,1,4,3,1,2,2,1,1,7,1,1,1,2,1,5,3,1,3,5,1,1,3,3,3,5

%N Number of ways A002808(n) can be properly factored into 2 integers.

%H Robert Israel, <a href="/A033941/b033941.txt">Table of n, a(n) for n = 1..10000</a>

%p f:= proc(t) if not isprime(t) then (numtheory:-tau(t) +`if`(issqr(t), 1, 0))/2 - 1 fi end proc:

%p map(f, [$4..1000]); # _Robert Israel_, Feb 15 2018

%o (PARI) f(n) = (numdiv(n) + issquare(n))/2 - 1;

%o lista(nn) = forcomposite(n=1, nn, print1(f(n), ", ")) \\ _Michel Marcus_, Feb 16 2018

%K nonn

%O 1,6

%A _Jeff Burch_

%E Corrected by _Robert Israel_, Feb 15 2018

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Last modified July 8 05:21 EDT 2024. Contains 374149 sequences. (Running on oeis4.)