%I A096067
%S A096067 0,0,0,1,0,1,2,0,3,1,2,4,0,5,2,3,6,0,6,5,2,8,2,6,8,1,10,4,6,11,0,11,8,
               4,
%T A096067 13,3,10,12,2,15,6,9,16,0,17,9,8,18,2
%N A096067 Number of 3-smooth numbers between successive numbers that are powers 
               of 2 or of 3.
%C A096067 a(n) = {k: A006899(n) < A003586(k) < A006899(n+1)}.
%e A096067 n=16: three 3-smooth numbers between A006899(16)=3^6=729 and
%e A096067 A006899(17)=2^10=1024: A003586(38)=2^8*3=768, A003586(39)=2^5*3^3=864 
               and A003586(40)=2^2*3^5=972, therefore a(16)=3.
%Y A096067 Sequence in context: A068915 A133925 A071492 this_sequence A098861 A125940 
               A071504
%Y A096067 Adjacent sequences: A096064 A096065 A096066 this_sequence A096068 A096069 
               A096070
%K A096067 nonn
%O A096067 1,7
%A A096067 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 21 2004