

A308540


a(n) is the least nonnegative number whose digits do not appear in order (not necessarily consecutively) in the concatenation of all previous terms.


2



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 22, 33, 44, 55, 66, 77, 88, 99, 100, 332, 554, 776, 998, 1001, 3322, 5544, 7766, 9988, 33220, 33221, 55445, 77667, 99889, 332200, 332211, 776674, 776675, 3322008, 3322009, 7766741, 7766755, 33220088, 33220099, 77667411
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OFFSET

1,3


COMMENTS

This sequence is a variant of A048991.


LINKS

Table of n, a(n) for n=1..45.
Rémy Sigrist, C program for A308540


EXAMPLE

The first terms are necessarily the onedigit numbers: a(1) = 0, a(2) = 1, ..., a(10) = 9.
The number 10 does not appear in "0123456789", hence a(11) = 10.
The digits of every number from 11 to 21 appear in order in "012345678910", but this is not the case for the number 22, hence a(12) = 22.


PROG

(C) See Links section.


CROSSREFS

See A309340 for the binary variant.
Cf. A048991.
Sequence in context: A276633 A298482 A301801 * A179310 A114806 A239664
Adjacent sequences: A308537 A308538 A308539 * A308541 A308542 A308543


KEYWORD

nonn,base


AUTHOR

Rémy Sigrist, Jul 24 2019


STATUS

approved



