A362623 Lexicographically earliest sequence of distinct positive terms such that for any n > 0, the initial digit "d" of a(n) divides a(n+d).

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 26, 28, 30, 32, 23, 27, 36, 34, 25, 33, 42, 29, 39, 38, 40, 45, 48, 31, 44, 52, 60, 35, 56, 37, 75, 41, 54, 50, 43, 64, 68, 70, 80, 46, 47, 66, 72, 76, 84, 49, 88, 78, 51, 112, 63

Offset

1,2

Comments

The sequence is a permutation of the natural numbers.

Links

Table of n, a(n) for n=1..68.

Example

The initial digit of a(1) = 1 is 1 and 1 divides a(2) = 2;
The initial digit of a(2) = 2 is 2 and 2 divides a(4) = 4;
The initial digit of a(3) = 3 is 3 and 3 divides a(6) = 6; etc.

Crossrefs

Cf. A308539.

Sequence in context: A193176 A263314 A267086 * A032517 A246087 A246094

Adjacent sequences: A362620 A362621 A362622 * A362624 A362625 A362626

Keyword

base,nonn

Author

Eric Angelini, Apr 28 2023

Status

approved