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).

10, 100, 101, 102, 12, 21, 112, 120, 103, 30, 130, 104, 14, 41, 114, 124, 121, 122, 123, 23, 32, 132, 125, 25, 52, 152, 126, 16, 61, 106, 105, 50, 150, 107, 70, 170, 108, 18, 81, 118, 128, 127, 27, 72, 172, 129, 29, 92, 192, 142, 134, 34, 43, 143, 140, 109, 90, 190, 110, 160, 116

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..61.

Example

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

Crossrefs

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

Sequence in context: A266798 A268449 A289826 * A341692 A323708 A293870

Adjacent sequences: A309387 A309388 A309389 * A309391 A309392 A309393

Keyword

nonn,base

Author

Enrique Navarrete, Jul 27 2019

Status

approved