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

Author

Eric Angelini and Carole Dubois, Apr 23 2020

Keywords

• base
• nonn

Examples

			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.
		

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.

Crossrefs

Cf. A100787.