A179308 List of positive integers, omitting any number n if another number with the same set of digits as n has already been listed.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 23, 24, 25, 26, 27, 28, 29, 30, 34, 35, 36, 37, 38, 39, 40, 45, 46, 47, 48, 49, 50, 56, 57, 58, 59, 60, 67, 68, 69, 70, 78, 79, 80, 89, 90, 102, 103, 104, 105, 106, 107, 108, 109, 123, 124, 125

Offset

1,2

Comments

Numbers 1 to 10 are all new sets of digits. 11 is omitted because its digit set {1} is the same as that of 1. The following numbers are included, until 21 which has the same digit set as 12, and 22 which has the same set as 2.

This sequence is of course finite and has 1022 terms; the number of possible digit sets excluding the empty set and {0}.

Links

Nathaniel Johnston, Table of n, a(n) for n = 1..1022 (full sequence)

Maple

s:={}: for n from 1 to 1000 do d:=convert(convert(n, base, 10), set): if(not member(d, s))then printf("%d, ", n): s:=s union {d}: fi: od: # Nathaniel Johnston, Jun 21 2011

Crossrefs

A subsequence of A179239.

Sequence in context: A122254 A249626 A102823 * A247806 A333501 A369092

Adjacent sequences: A179305 A179306 A179307 * A179309 A179310 A179311

Keyword

base,easy,fini,full,nonn

Author

Jack W Grahl, Jul 10 2010

Extensions

Corrected by Jack W Grahl, Jan 10 2011

Status

approved