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A029741 Even numbers with distinct digits. 3

%I #17 Aug 04 2022 15:52:59

%S 0,2,4,6,8,10,12,14,16,18,20,24,26,28,30,32,34,36,38,40,42,46,48,50,

%T 52,54,56,58,60,62,64,68,70,72,74,76,78,80,82,84,86,90,92,94,96,98,

%U 102,104,106,108,120,124,126,128,130,132,134,136,138,140,142,146

%N Even numbers with distinct digits.

%C Largest term is 9876543210. - _Alonso del Arte_, Jan 09 2020

%C There are 4493646 terms. - _Michael S. Branicky_, Aug 04 2022

%H Michael S. Branicky, <a href="/A029741/b029741.txt">Table of n, a(n) for n = 1..10000</a>

%H Patrick De Geest, <a href="http://www.worldofnumbers.com/index.html">World!Of Numbers</a>

%t Select[2Range[0, 79], Max[DigitCount[#]] == 1 &] (* _Harvey P. Dale_, Dec 23 2013 *)

%o (Scala) def hasDistinctDigits(n: Int): Boolean = {

%o val numerStr = n.toString

%o val digitSet = numerStr.split("").toSet

%o numerStr.length == digitSet.size

%o }

%o (0 to 198 by 2).filter(hasDistinctDigits) // _Alonso del Arte_, Jan 09 2020

%o (Python) # generates full sequence

%o from itertools import permutations

%o 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"))

%o print(afull[:100]) # _Michael S. Branicky_, Aug 04 2022

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

%K nonn,fini,base

%O 1,2

%A _Patrick De Geest_

%E Offset changed to 1 by _Michael S. Branicky_, Aug 04 2022

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Last modified April 19 09:23 EDT 2024. Contains 371782 sequences. (Running on oeis4.)