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A084904 Number of places to insert a division operator in the decimal string of n such that an integer results. 2

%I

%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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Last modified May 14 09:14 EDT 2021. Contains 343879 sequences. (Running on oeis4.)