cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A028422 Number of ways n can be properly factored.

This page as a plain text file.
%I A028422 #11 Oct 12 2018 21:58:32
%S A028422 0,0,0,1,0,1,0,2,1,1,0,3,0,1,1,4,0,3,0,3,1,1,0,6,1,1,2,3,0,4,0,6,1,1,
%T A028422 1,8,0,1,1,6,0,4,0,3,3,1,0,11,1,3,1,3,0,6,1,6,1,1,0,10,0,1,3,10,1,4,0,
%U A028422 3,1,4,0,15,0,1,3,3,1,4,0,11,4,1,0,10,1,1,1,6,0,10
%N A028422 Number of ways n can be properly factored.
%C A028422 a(n) = A066032(n,n-1) for n > 1; also number of ways to write n as a product with all factors <= n/2. - _Reinhard Zumkeller_, Oct 01 2012
%H A028422 Reinhard Zumkeller, <a href="/A028422/b028422.txt">Table of n, a(n) for n = 1..10000</a>
%e A028422 12 can be expressed as 2*6, 3*4 or 2*2*3, so a(12)=3.
%o A028422 (Haskell)
%o A028422 a028422 1 = 0
%o A028422 a028422 n = (map (last . init) a066032_tabl) !! (n-1)
%o A028422 -- _Reinhard Zumkeller_, Oct 01 2012
%Y A028422 A001055(n) - 1.
%Y A028422 Cf. A216599, A216600, A216601, A216602.
%K A028422 nonn
%O A028422 1,8
%A A028422 Glen Burch (gburch(AT)erols.com)