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A029741 Even numbers with distinct digits. 3
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 (list; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn,fini,base
AUTHOR
EXTENSIONS
Offset changed to 1 by Michael S. Branicky, Aug 04 2022
STATUS
approved

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Last modified July 22 19:00 EDT 2024. Contains 374540 sequences. (Running on oeis4.)