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A057303 Numbers n such that the number of distinct digits in n is a digit of n. 0

%I #17 Feb 23 2016 13:20:32

%S 1,11,12,20,21,23,24,25,26,27,28,29,32,42,52,62,72,82,92,103,111,112,

%T 121,122,123,130,132,134,135,136,137,138,139,143,153,163,173,183,193,

%U 200,202,203,211,212,213,220,221,223,224,225,226,227,228,229,230,231

%N Numbers n such that the number of distinct digits in n is a digit of n.

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

%D S. Colton, Unpublished PhD Thesis, University of Edinburgh, 2000.

%H S. Colton, <a href="http://www.cs.uwaterloo.ca/journals/JIS/colton/joisol.html">Refactorable Numbers - A Machine Invention</a>, J. Integer Sequences, Vol. 2, 1999, #2.

%H S. Colton, <a href="http://www.dai.ed.ac.uk/homes/simonco/research/hr/">HR - Automatic Theory Formation in Pure Mathematics</a>

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

%o (PARI) isok(n) = {my(d = vecsort(digits(n),,8)); vecsearch(d, #d);} \\ _Michel Marcus_, Feb 23 2016

%Y Cf. A000042.

%K nonn,base

%O 1,2

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

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)