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%I #1 Apr 09 2005 03:00:00
%S 0,1,1,0,2,1,2,0,1,0,1,1,2,1,2,0,1,0,2,1,2,0,1,0,1,0,1,0,1,2,2,1,1,0,
%T 1,0,1,0,3,1,2,1,2,0,2,0,1,1,2,0,0,0,2,1,1,2,1,0,1,0,2,1,3,1,1,0,1,0,
%U 1,0,1,2,3,0,3,0,1,0,1,2,1,0,1,0,1,1,0,1,2,0,2,0,1,0,0,2
%N Sequence A048138, the number of times that a positive integer occurs as the sum of proper divisors, if Goldbach partitions (two odd primes, which account for most of the values) are ignored.
%F a(n) = number of m such that the sum of the proper divisors of m is n, ignoring m if m is the product of two different odd primes.
%e a(13)=1 because s(27)=1+3+9 and s(35)=1+5+7=13 however 35's factors 3 and 5 are a Goldbach partition, so 35 is not counted.
%Y Cf. A048138, A001065, A061358.
%K nonn
%O 2,5
%A Nathan McNew (agreatnate(AT)yahoo.com), Mar 29 2005