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

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, 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, 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

Offset

0,102

Comments

a(A084906(n))>0; record values: a(A000533(n))=n; a(n) < A055642(n).

Links

Table of n, a(n) for n=0..101.

Formula

a(n) = #{k: (n mod 10^k)>0 and ((n/10^k) mod (n mod 10^k))=0}.

Example

a(42)=1, as 4/2=2; a(43)=0, as 4/3 is not an integer.

Crossrefs

Cf. A084905.

Sequence in context: A071936 A005088 A076142 * A084928 A112316 A112802

Adjacent sequences: A084901 A084902 A084903 * A084905 A084906 A084907

Keyword

nonn,base

Author

Reinhard Zumkeller, Jun 10 2003

Status

approved