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

1,2

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

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

Prog

(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

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.

Sequence in context: A266283 A309540 A039393 * A297062 A203569 A305712

Adjacent sequences: A199165 A199166 A199167 * A199169 A199170 A199171

Keyword

nonn,base,easy,fini

Author

M. F. Hasler, Jan 08 2013

Status

approved