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A057303 Numbers n such that the number of distinct digits in n is a digit of n. +0
1
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; listen)
OFFSET

1,2

COMMENT

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

REFERENCES

S. Colton, Unpublished PhD Thesis, University of Edinburgh, 2000

LINKS

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

CROSSREFS

Cf. A000042.

Sequence in context: A134926 A105744 A092096 this_sequence A121979 A109372 A066686

Adjacent sequences: A057300 A057301 A057302 this_sequence A057304 A057305 A057306

KEYWORD

nonn

AUTHOR

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

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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