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A057303 Numbers n such that the number of distinct digits in n is a digit of n. 0
1, 11, 12, 20, 21, 23, 24, 25, 26, 27, 28, 29, 32, 42, 52, 62, 72, 82, 92, 103, 111, 112, 121, 122, 123, 130, 132, 134, 135, 136, 137, 138, 139, 143, 153, 163, 173, 183, 193, 200, 202, 203, 211, 212, 213, 220, 221, 223, 224, 225, 226, 227, 228, 229, 230, 231 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The repunits (A000042) are a subsequence. Analogous in construction to the refactorable numbers (A033950).

REFERENCES

S. Colton, Unpublished PhD Thesis, University of Edinburgh, 2000.

LINKS

Table of n, a(n) for n=1..56.

S. Colton, Refactorable Numbers - A Machine Invention, J. Integer Sequences, Vol. 2, 1999, #2.

S. Colton, HR - Automatic Theory Formation in Pure Mathematics

EXAMPLE

103 has 3 distinct digits in base 10 and 3 is a base 10 digit of 103.

PROG

(PARI) isok(n) = {my(d = vecsort(digits(n), , 8)); vecsearch(d, #d); } \\ Michel Marcus, Feb 23 2016

CROSSREFS

Cf. A000042.

Sequence in context: A134926 A105744 A092096 * A121979 A109372 A066686

Adjacent sequences:  A057300 A057301 A057302 * A057304 A057305 A057306

KEYWORD

nonn,base

AUTHOR

Simon Colton (simonco(AT)cs.york.ac.uk), Aug 25 2000

STATUS

approved

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Last modified December 12 09:36 EST 2019. Contains 329953 sequences. (Running on oeis4.)