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

Author

Jack W Grahl, Jul 10 2010

Keywords

• base
• easy
• fini
• full
• nonn

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)

Crossrefs

A subsequence of A179239.

Programs

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

Extensions

Corrected by Jack W Grahl, Jan 10 2011