A029741 Even numbers with distinct digits.

0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 90, 92, 94, 96, 98, 102, 104, 106, 108, 120, 124, 126, 128, 130, 132, 134, 136, 138, 140, 142, 146

Offset

1,2

Comments

Largest term is 9876543210. - Alonso del Arte, Jan 09 2020

There are 4493646 terms. - Michael S. Branicky, Aug 04 2022

Links

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

Patrick De Geest, World!Of Numbers

Mathematica

Select[2Range[0, 79], Max[DigitCount[#]] == 1 &] (* Harvey P. Dale, Dec 23 2013 *)

Prog

(Scala) def hasDistinctDigits(n: Int): Boolean = {
  val numerStr = n.toString
  val digitSet = numerStr.split("").toSet
  numerStr.length == digitSet.size
}
(0 to 198 by 2).filter(hasDistinctDigits) // Alonso del Arte, Jan 09 2020
(Python) # generates full sequence
from itertools import permutations
afull = [0] + 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 "02468"))
print(afull[:100]) # Michael S. Branicky, Aug 04 2022

Crossrefs

Cf. A029740 (odd version). Union of that sequence with this sequence gives A010784.

Sequence in context: A054965 A059548 A064720 * A240171 A221284 A272670

Adjacent sequences: A029738 A029739 A029740 * A029742 A029743 A029744

Keyword

nonn,fini,base

Author

Patrick De Geest

Extensions

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

Status

approved