A084906 - OEIS

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A084906

Numbers with at least one place in their decimal representation to insert a division operator such that an integer results.

11, 21, 22, 31, 33, 41, 42, 44, 51, 55, 61, 62, 63, 66, 71, 77, 81, 82, 84, 88, 91, 93, 99, 101, 102, 105, 111, 121, 122, 123, 124, 126, 131, 141, 142, 147, 151, 153, 155, 161, 162, 164, 168, 171, 181, 182, 183, 186, 189, 191, 201, 202, 204, 205, 211, 213 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`A084904(a(n))>0; for all m=a(n) exists at least one k such that (m mod 10^k)>0 and ((m/10^k) mod (m mod 10^k))=0.`
	EXAMPLE	`364->36/4=9 therefore 364 is a term; 365 is not a term, as 3/65 and 36/5 are not integers.`
	CROSSREFS	`Cf. A084905.` `Sequence in context: A031032 A084854 A108237 * A118853 A117841 A105956` `Adjacent sequences: A084903 A084904 A084905 * A084907 A084908 A084909`
	KEYWORD	`nonn,base`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 10 2003`

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Last modified February 14 14:07 EST 2012. Contains 205623 sequences.