id:A056055 - OEIS Search Results

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Integers > 1 where the decimal expansion of 1/n contains n as a string (if 1/n is finite, trailing zeros do not count).

+0
1

3, 6, 7, 14, 17, 28, 58, 59, 83, 86, 87, 89, 97, 118, 167, 197, 228, 281, 313, 316, 339, 367, 379, 383, 456, 458, 469, 529, 541, 543, 569, 577, 587, 593, 607, 618, 626, 629, 647, 669, 673, 677, 678, 683, 687, 701, 709, 719, 722, 727, 729, 767, 771, 772, 778 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The sequence is probably infinite, since long-period primes (cf. A006883) especially with high first digit are likely candidates, but is there a proof? Does any n with finite expansion of 1/n (i.e. n = 2^k * 5^m) occur?`
	LINKS	`Index entries for sequences related to decimal expansion of 1/n`
	EXAMPLE	`118 is okay, since 1/118 = 0.00847457627118... contains "118", 100 is not in it because 1/100 = 0.01 does not contain "100" (0.0100 does not count)`
	CROSSREFS	`Sequence in context: A099403 A037015 A138218 this_sequence A070523 A139247 A124611` `Adjacent sequences: A056052 A056053 A056054 this_sequence A056056 A056057 A056058`
	KEYWORD	`nonn,base`
	AUTHOR	`Ulrich Schimke (ulrschimke(AT)aol.com)`

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.

AT&T Labs Research