A029740 Odd numbers with distinct digits.

1, 3, 5, 7, 9, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 103, 105, 107, 109, 123, 125, 127, 129, 135, 137, 139, 143, 145, 147, 149, 153, 157

Offset

1,2

Comments

The sequence has 4384045 terms. - Harvey P. Dale, Jan 12 2019

Maximum term is 9876543201. Next higher number with distinct digits is 9876543210. - Alonso del Arte, Jan 09 2020

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000

Patrick De Geest, World!Of Numbers

Mathematica

Select[Range[1, 199, 2], Max[DigitCount[#]] == 1 &] (* Harvey P. Dale, Jan 12 2019 *)

Prog

(Scala) def hasDistinctDigits(n: Int): Boolean = {
  val numerStr = n.toString
  val digitSet = numerStr.split("").toSet
  numerStr.length == digitSet.size
}
(1 to 199 by 2).filter(hasDistinctDigits) // Alonso del Arte, Jan 09 2020
(Python) # generates full sequence
from itertools import permutations
afull = sorted(set(int("".join(p)) for d in range(1, 11) for p in permutations("0123456789", d) if p[0] != "0" and p[-1] in "13579"))
print(afull[:100]) # Michael S. Branicky, Aug 04 2022

Crossrefs

Cf. A029741 (even version). Union of that sequence with this sequence gives A010784.

Sequence in context: A337431 A067031 A204454 * A063425 A215806 A333369

Adjacent sequences: A029737 A029738 A029739 * A029741 A029742 A029743

Keyword

nonn,fini,base

Author

Patrick De Geest

Extensions

First comment corrected by Harvey P. Dale, Mar 04 2020 at the insistence of Sean A. Irvine

Offset changed to 1 by Michael S. Branicky, Aug 04 2022

Removed incorrect Sage program. - N. J. A. Sloane, Aug 04 2022

Status

approved