A368591 - OEIS

A368591

The sequence is both a succession of triples of monotonically increasing numbers and a succession of triples of monotonically increasing digits. This is the lexicographically earliest such sequence starting with a(1) = 0 formed by distinct number-triples.

%I #19 Jan 04 2024 06:37:18

%S 0,1,2,0,1,3,0,1,4,0,1,5,0,1,6,0,1,7,0,1,8,0,1,9,0,2,3,0,2,4,0,2,5,0,

%T 2,6,0,2,7,0,2,8,0,2,9,0,3,4,0,3,5,0,3,6,0,3,7,0,3,8,0,3,9,0,4,5,0,4,

%U 6,0,4,7,0,4,8,0,4,9,0,5,6,0,5,7,0,5,8,0,5,9,0,6,7,0,6,8,0,6,9,0,7,8,0,7,9,0,8,9,1,2,3,1,2,4,1,2,5,1,2,6,1,2,7,1,2,8,1,2,9,1,3,4,1,3,5,1,3,6,1,3,7,1,3,8,1,3,9,1,4,5,1,4,6,1,4,7,1,4,8,1,4,9,1,5,6,1,5,7,1,5,8,1,5,9,1,6,7,1,6,8,1,6,9,1,7,8,1,7,9,1,8,9,2,3,4,2,3,5,2,3,6,2,3,7,2,3,8,2,3,9,2,4,5,2,4,6,2,4,7,2,4,8,2,4,9,2,5,6,2,5,7,2,5,8,2,5,9,2,6,7,2,6,8,2,6,9,2,7,8,2,7,9,2,8,9,3,4,5,3,4,6,3,4,7,3,4,8,3,4,9,3,5,6,3,5,7,3,5,8,3,5,9,3,6,7,3,6,8,3,6,9,3,7,8,3,7,9,3,8,9,4,5,6,4,5,7,4,5,8,4,5,9,4,6,7,4,6,8,4,6,9,4,7,8,4,7,9,4,8,9,5,6,7,5,6,8,5,6,9,5,7,8,5,7,9,5,8,9,6,7,8,6,7,9,6,8,9,7,8,9,0,1,20,1,2,12,3,12,30,1,2,13,4,12,30,1,2,14,5,12,30,1,2,15,6,12,30,1,2,16,7,12,30,1,2,17,8,12,30,1,2,18,9,12,30,1,2,23,4,12,31,2,3,12,3,12,31,2,3,13,4,12,31,2,3,14,5,12,31,2,3,15,6,12,31,2,3,16,7,12,31,2,3,17,8,12,31,2,3,18,9,12,31,2,3,23,4,12,32,3,4,12,3,12,32,3,4,13,4,12,32,3,4,14,5,12,32,3,4,15,6,12,32,3,4,16,7,12,32,3,4,17,8,12,32,3,4,18,9,12,32,3,4,23,4,12,33

%N The sequence is both a succession of triples of monotonically increasing numbers and a succession of triples of monotonically increasing digits. This is the lexicographically earliest such sequence starting with a(1) = 0 formed by distinct number-triples.

%C When will 2024 appear?

%H Eric Angelini, <a href="https://cinquantesignes.blogspot.com/2023/12/triplets-for-new-year.html">Triples for the new year</a>, Personal blog, December 31, 2023.

%e The first 10 distinct triples of monotonically increasing numbers are: [0,1,2],[0,1,3],[0,1,4],[0,1,5],[0,1,6],[0,1,7],[0,1,8],[0,1,9],[0,2,3],[0,2,4].

%e The first 10 distinct triples of monotonically increasing numbers using altogether more than 3 digits are: [0,1,20],[1,2,12],[3,12,30],[1,2,13],[4,12,30],[1,2,14],[5,12,30],[1,2,15,[6,12,30],[1,2,16].

%e The above 10 triples are also a succession of triples of monotonically increasing digits: [0,1,2][0,1,2],[12,3],[12,3][0,1,2],[13,4],[12,3],[0,1,2],[14,5],[12,3][0,1,2],[15,6],[12,3][0,1,2].

%Y Cf. A336611.

%K base,nonn

%O 1,3

%A _Eric Angelini_, Dec 31 2023

%E More than the usual number of terms are shown (with permission of the editors) in order to reach the interesting terms.