A084904 - OEIS

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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 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,102`
	COMMENTS	`a(A084906(n))>0; record values: a(A000533(n))=n; a(n) < A055642(n).`
	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: A112802 A137979 A160338 A174845 A037281 A143241 A118626` `Adjacent sequences: A084901 A084902 A084903 * A084905 A084906 A084907`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 10 2003`

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.