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%I #5 Mar 30 2012 18:50:36
%S 0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,
%T 0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,
%U 0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,2
%N Number of places to insert a division operator in the decimal string of n such that an integer results.
%C a(A084906(n))>0; record values: a(A000533(n))=n; a(n) < A055642(n).
%F a(n) = #{k: (n mod 10^k)>0 and ((n/10^k) mod (n mod 10^k))=0}.
%e a(42)=1, as 4/2=2; a(43)=0, as 4/3 is not an integer.
%Y Cf. A084905.
%K nonn,base
%O 0,102
%A _Reinhard Zumkeller_, Jun 10 2003
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