A334336 Write under each comma the absolute difference of the two digits framing the said comma; the successive results reproduce, digit by digit, the sequence itself. This is the lexicographically earliest permutation of the positive integers with this property.

1, 2, 4, 80, 8, 81, 9, 10, 100, 90, 11, 12, 3, 31, 110, 91, 13, 40, 14, 5, 7, 41, 42, 30, 15, 6, 60, 92, 32, 33, 61, 51, 16, 70, 43, 82, 93, 71, 20, 44, 62, 52, 21, 22, 72, 83, 94, 400, 95, 73, 63, 50, 34, 77, 17, 84, 96, 74, 53, 98, 18, 85, 97, 49, 19, 700, 99, 68, 101, 23, 54, 45, 900

Offset

1,2

Links

Carole Dubois, Table of n, a(n) for n = 1..5000

Eric Angelini, Comma differences, message to the SeqFan mailing list, March 22 2020.

Example

Compare the start of the sequence and the absolute comma-differences:
Seq = 1, 2, 4, 80, 8, 81, 9, 10, 100, 90, 11, 12, 3, 31, 110, 91, ...
Dif = .1..2..4...8..0...8..8...1....9...1...0...1..0...0....9...
We see that the digits of the second line reproduce the digits' succession of the first line.

Crossrefs

Cf. A100787.

Sequence in context: A006688 A292711 A018389 * A092932 A102663 A322704

Adjacent sequences: A334333 A334334 A334335 * A334337 A334338 A334339

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Apr 23 2020

Status

approved