A342045 When a digit d is odd, the next digit is < d.

0, 2, 3, 10, 4, 5, 20, 6, 7, 22, 8, 9, 23, 24, 25, 26, 27, 28, 29, 30, 32, 40, 42, 43, 100, 44, 45, 46, 47, 48, 49, 50, 52, 53, 102, 54, 60, 62, 63, 103, 104, 64, 65, 105, 106, 66, 67, 68, 69, 70, 72, 73, 107, 108, 74, 75, 109, 76, 80, 82, 83, 200, 84, 85, 202, 86, 87, 203, 204, 88, 89, 205, 206, 90, 92, 93

Offset: 1

Author

Eric Angelini, Feb 26 2021

Keywords

• base
• nonn

Comments

After a(1) = 0, the sequence is always extended with the smallest positive integer not yet present that doesn't lead to a contradiction.

No term ends in 1 (as this 1 would block the sequence).

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, PARI program for A342045

Crossrefs

Cf. A342042, A342043, A342044, A342046 and A342047 (variations on the same idea).

Programs

PARI

See Links section.