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A309390 Set a(1)=10. Thereafter a(n) is the smallest positive number not yet in the sequence that contains exactly one even digit and one odd digit from a(n-1). 1

%I #20 Aug 07 2019 14:23:05

%S 10,100,101,102,12,21,112,120,103,30,130,104,14,41,114,124,121,122,

%T 123,23,32,132,125,25,52,152,126,16,61,106,105,50,150,107,70,170,108,

%U 18,81,118,128,127,27,72,172,129,29,92,192,142,134,34,43,143,140,109,90,190,110,160,116

%N Set a(1)=10. Thereafter a(n) is the smallest positive number not yet in the sequence that contains exactly one even digit and one odd digit from a(n-1).

%C Numbers such as 3, 8, 20, 31, and 42 are not in the sequence since by definition all terms must contain both odd and even digits.

%e a(2)=100 since it is the smallest number not yet in the sequence that contains an even digit (0) and an odd digit (1) from a(1)=10.

%e a(7)=112 since it is the smallest number not yet in the sequence that contains an even digit (2) and an odd digit (1) from a(6)=21.

%e a(27)=126 is not 105 since 105 would contain two odd digits (1 and 5) from a(26)=152.

%Y Cf. A318700 (positive numbers that contain both odd and even digits).

%K nonn,base

%O 1,1

%A _Enrique Navarrete_, Jul 27 2019

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