%I
%S 1,1,0,2,0,1,0,3,0,1,0,2,0,1,0,5,0,1,0,2,0,1,0,4,0,1,0,2,0,1,0,7,0,1,
%T 0,3,0,1,0,4,0,1,0,2,0,1,0,7,0,1,0,2,0,1,0,4,0,1,0,3,0,1,0,11,0,1,0,2,
%U 0,1,0,6,0,1,0,2,0,1,0,7,0,1,0,3,0,1,0,4,0,1,0,2,0,1,0,12,0,1,0,3,0,1,0,4,0
%N Number of factorizations of n into even factors > 1 (a(1) = 1 by convention).
%H Antti Karttunen, <a href="/A349906/b349906.txt">Table of n, a(n) for n = 1..20000</a>
%o (PARI) A349906(n, m=n) = if(1==n, 1, my(s=0); fordiv(n, d, if((d>1)&&(d<=m)&&!(d%2), s += A349906(n/d, d))); (s));
%Y Cf. A001055, A340785 (even bisection), A349907.
%K nonn
%O 1,4
%A _Antti Karttunen_, Dec 13 2021
