A339317 Lexicographically earliest sequence of distinct positive terms such that a(n) is preceded by the a(n)-th digit of the sequence, for n > 1.

1, 3, 10, 4, 5, 6, 7, 8, 30, 11, 12, 15, 17, 19, 21, 13, 2, 22, 28, 9, 31, 14, 35, 37, 39, 41, 16, 45, 47, 49, 51, 18, 55, 52, 26, 61, 20, 65, 56, 62, 27, 73, 25, 57, 74, 42, 29, 85, 58, 86, 66, 69, 95, 67, 79, 96, 70, 105, 68, 89, 101, 23, 32, 59, 102, 60, 107, 80, 114, 46, 91, 24, 48, 90, 123, 36, 92, 64, 50

Offset

1,2

Comments

This sequence is a permutation of the numbers > 0.

Links

Carole Dubois, Table of n, a(n) for n = 1..5001

Example

a(1) = 1
a(2) = 3 is preceded by the 3rd digit of the sequence (this is the 1 of 10);
a(3) = 10 is preceded by the 10th digit of the sequence (this is the 3 of 30);
a(4) = 4 is preceded by the 4th digit of the sequence (this is the 0 of 10);
a(5) = 5 is preceded by the 5th digit of the sequence (this is the 4 of 4);
...
a(9) = 30 because this is the smallest integer not leading to a contradiction [it must start with a 3 because of a(3) fixing the 10th digit of the sequence];  etc.

Crossrefs

Cf. A339206 (a variant of this sequence).

Sequence in context: A338683 A361943 A320583 * A131814 A003620 A235923

Adjacent sequences: A339314 A339315 A339316 * A339318 A339319 A339320

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Nov 30 2020

Status

approved