A342043 When a digit d is even, the next digit is < d.

1, 2, 11, 3, 4, 12, 13, 5, 6, 14, 15, 7, 8, 16, 17, 9, 18, 19, 21, 31, 32, 111, 33, 34, 35, 36, 37, 38, 39, 41, 42, 112, 113, 43, 51, 52, 114, 115, 53, 54, 116, 55, 56, 57, 58, 59, 61, 62, 117, 63, 64, 118, 65, 71, 72, 119, 73, 74, 121, 75, 76, 131, 77, 78, 79, 81, 82, 132, 133, 83, 84, 134, 135, 85

Offset

1,2

Comments

The sequence is always extended with the smallest positive integer not yet present that doesn't lead to a contradiction.

No digit 0 is present in the sequence (as 0, being even, would block it).

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A342043

Prog

(PARI) See Links section.

Crossrefs

Cf. A342042, A342044, A342045, A342046 and A342047 (variations on the same idea).

Sequence in context: A276676 A077805 A344539 * A351997 A104662 A333861

Adjacent sequences: A342040 A342041 A342042 * A342044 A342045 A342046

Keyword

base,nonn

Author

Eric Angelini, Feb 26 2021

Status

approved