A338265 If a(n) has at least one common digit with a(n-1), underline a(n). The non-underlined terms reproduce the sequence itself.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 20, 11, 31, 23, 22, 24, 25, 26, 27, 28, 29, 32, 30, 12, 41, 34, 33, 35, 36, 37, 38, 39, 43, 40, 13, 51, 45, 42, 44, 46, 47, 48, 49, 54, 50, 14, 61, 56, 52, 53, 55, 57, 58, 59, 65, 60, 15, 71, 67, 62, 63, 64, 66, 68, 69, 76, 70, 16, 81, 78, 72

Offset

1,2

Comments

This is a kind of fractal sequence as it contains an infinite number of copies of itself. The underlined terms of the sequence are the lexicographically earliest permutation of the natural numbers > 10.

Links

Table of n, a(n) for n=1..81.

Example

If we erase the parenthesized terms, we get the sequence itself: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, (11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 20), 11, (31, 23, 22, 24, 25, 26, 27, 28, 29, 32, 30), 12, (41, 34, 33, 35, 36, 37, 38, 39, 43, 40), 13, (51, 45, 42, 44, 46, 47, 48, 49, 54, 50), 14, (61, 56, 52, 53, 55, 57, 58, 59, 65, 60), 15, (71, 67, 62, 63, 64, 66, 68, 69, 76, 70), 16, (81, 78, 72, ...) etc.

Crossrefs

Cf. A274329.

Sequence in context: A274846 A051108 A051107 * A110303 A347520 A180493

Adjacent sequences: A338262 A338263 A338264 * A338266 A338267 A338268

Keyword

base,nonn

Author

Eric Angelini, Oct 19 2020

Status

approved