A199168 Numbers whose digits are a permutation of (0,...,m) for some m.

0, 10, 102, 120, 201, 210, 1023, 1032, 1203, 1230, 1302, 1320, 2013, 2031, 2103, 2130, 2301, 2310, 3012, 3021, 3102, 3120, 3201, 3210, 10234, 10243, 10324, 10342, 10423, 10432, 12034, 12043, 12304, 12340, 12403, 12430, 13024, 13042, 13204, 13240, 13402, 13420

Offset: 1

Author

M. F. Hasler, Jan 08 2013

Keywords

• nonn
• base
• easy
• fini

Comments

2013 is the fourth odd term in this sequence: Up to and including the 5 digit terms, odd terms must end in 1 or 3.

Due to the fact that 0 is not allowed as initial digit, this sequence is quite different from A030299, the analog with digits (1,...,m) instead of (0,...,m).

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A187796 (subset of primes), A203569 (also a subset), A030299 (permutations of 1..m) and references therein.

Pandigital numbers A050278 are also a subset.

Cf. A297062.

Programs

Maple

f:= proc(n) map(L -> add(L[i]*10^(n-i),i=1..n), select(L -> L[1] <> 0, combinat:-permute([$0..n-1]))) end proc:
f(1):= [0]:
seq(op(f(n)),n=1..5); # Robert Israel, Jan 09 2025

PARI

n_digit_terms(n)={my(a=[],p=vector(n,i,10^(n-i))~);for(i=(n-1)!,n!-(n>1),a=concat(a,numtoperm(n,i)%n*p));vecsort(a)} \\ - M. F. Hasler, Jan 08 2013