A112909 a(n) is the least positive integer in base 10 containing n nines that is divisible by n.

9, 990, 999, 99992, 999990, 9999990, 49999999, 999999992, 999999999, 99999999990, 999999999999, 9999999999996, 39999999999999, 999999999999994, 9999999999999990, 999999999999990992, 995999999999999999

Offset

1,1

Links

Table of n, a(n) for n=1..17.

Formula

a(n) = n*A112910(n).

Example

a(4) = 99992 because 99992 contains 4 nines and is divisible by 4.

Crossrefs

Cf. A112889-A112898, A112900-A112905, A112907-A112910.

Sequence in context: A048561 A361885 A368019 * A083909 A307324 A327435

Adjacent sequences: A112906 A112907 A112908 * A112910 A112911 A112912

Keyword

base,nonn

Author

Ray G. Opao, Oct 05 2005

Extensions

Extended by Ray Chandler, Oct 09 2005

Status

approved