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A139285 Smallest nontrivial number m that when expressed in base n and then interpreted in base 10, is a multiple of the original number. 1
3, 2, 7, 6, 5, 308, 51, 34217, 7794416 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Not defined for n>9.

LINKS

Table of n, a(n) for n=1..9.

EXAMPLE

a(1)=3 since 3 in base 1 ('unary') is 111 and 111 can be divided by 3. a(3)=7 since 7 in base 3 is 21 and 21 can be divided by 3. Trivial solutions (m<n) do not count.

CROSSREFS

Cf. A032551, A032551, A032532.

Sequence in context: A101224 A229120 A255067 * A080398 A082321 A057502

Adjacent sequences:  A139282 A139283 A139284 * A139286 A139287 A139288

KEYWORD

base,fini,full,nonn

AUTHOR

Sergio Pimentel, Jun 06 2008

EXTENSIONS

a(9) corrected by Giovanni Resta, Nov 02 2017

STATUS

approved

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Last modified April 8 03:01 EDT 2020. Contains 333312 sequences. (Running on oeis4.)