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A056055 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
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; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

Table of n, a(n) for n=1..55.

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 * A070523 A233757 A139247

Adjacent sequences:  A056052 A056053 A056054 * A056056 A056057 A056058

KEYWORD

nonn,base

AUTHOR

Ulrich Schimke (ulrschimke(AT)aol.com)

STATUS

approved

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Last modified January 22 23:00 EST 2019. Contains 319365 sequences. (Running on oeis4.)