A072816 a(n) is the smallest integer such that the mantissa of 1/a(n) contains n.

1, 4, 3, 7, 2, 6, 7, 7, 11, 19, 9, 8, 23, 7, 19, 6, 17, 49, 21, 29, 19, 31, 13, 29, 4, 19, 29, 7, 17, 13, 19, 31, 3, 23, 17, 19, 27, 26, 23, 47, 17, 7, 23, 29, 22, 26, 17, 29, 51, 59, 29, 17, 26, 22, 18, 23, 7, 17, 47, 23, 21, 16, 19, 17, 23, 6, 49, 19, 13, 17, 7, 29, 19, 47, 29, 13

Offset

1,2

Comments

1/a(n) must contain also at least one nonzero digit after n if n ends with 0; e.g., a(10)=19 because 19 is the smallest integer whose reciprocal (0.052631578947368421052...) contains the digits "10" followed by at least one nonzero digit (to avoid 1/10 = 0.1000...).

Links

Table of n, a(n) for n=1..76.

Example

11 is the smallest integer whose reciprocal (0.0909...) contains 9, hence a(9) = 11.

Crossrefs

Sequence in context: A077978 A192986 A336741 * A340012 A046548 A127752

Adjacent sequences: A072813 A072814 A072815 * A072817 A072818 A072819

Keyword

base,nonn

Author

Benoit Cloitre, Aug 09 2002

Extensions

Corrected, edited, and more terms added by Jon E. Schoenfield, May 08 2010

Status

approved