cp's OEIS Frontend

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 A368591 #31 Mar 29 2025 00:23:28
%S A368591 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 A368591 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 A368591 6,0,4,7,0,4,8,0,4,9,0,5,6,0,5,7,0,5,8,0,5,9,0
%N 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.
%C A368591 When will 2024 appear?
%C A368591 Terms up to n=507:
%C A368591 0, 1, 2, 0, 1, 3, 0, 1, 4, 0, 1, 5, 0, 1, 6, 0, 1, 7, 0, 1, 8, 0, 1, 9,
%C A368591 0, 2, 3, 0, 2, 4, 0, 2, 5, 0, 2, 6, 0, 2, 7, 0, 2, 8, 0, 2, 9, 0, 3, 4,
%C A368591 0, 3, 5, 0, 3, 6, 0, 3, 7, 0, 3, 8, 0, 3, 9, 0, 4, 5, 0, 4, 6, 0, 4, 7,
%C A368591 0, 4, 8, 0, 4, 9, 0, 5, 6, 0, 5, 7, 0, 5, 8, 0, 5, 9, 0, 6, 7, 0, 6, 8,
%C A368591 0, 6, 9, 0, 7, 8, 0, 7, 9, 0, 8, 9, 1, 2, 3, 1, 2, 4, 1, 2, 5, 1, 2, 6,
%C A368591 1, 2, 7, 1, 2, 8, 1, 2, 9, 1, 3, 4, 1, 3, 5, 1, 3, 6, 1, 3, 7, 1, 3, 8,
%C A368591 1, 3, 9, 1, 4, 5, 1, 4, 6, 1, 4, 7, 1, 4, 8, 1, 4, 9, 1, 5, 6, 1, 5, 7,
%C A368591 1, 5, 8, 1, 5, 9, 1, 6, 7, 1, 6, 8, 1, 6, 9, 1, 7, 8, 1, 7, 9, 1, 8, 9,
%C A368591 2, 3, 4, 2, 3, 5, 2, 3, 6, 2, 3, 7, 2, 3, 8, 2, 3, 9, 2, 4, 5, 2, 4, 6,
%C A368591 2, 4, 7, 2, 4, 8, 2, 4, 9, 2, 5, 6, 2, 5, 7, 2, 5, 8, 2, 5, 9, 2, 6, 7,
%C A368591 2, 6, 8, 2, 6, 9, 2, 7, 8, 2, 7, 9, 2, 8, 9, 3, 4, 5, 3, 4, 6, 3, 4, 7,
%C A368591 3, 4, 8, 3, 4, 9, 3, 5, 6, 3, 5, 7, 3, 5, 8, 3, 5, 9, 3, 6, 7, 3, 6, 8,
%C A368591 3, 6, 9, 3, 7, 8, 3, 7, 9, 3, 8, 9, 4, 5, 6, 4, 5, 7, 4, 5, 8, 4, 5, 9,
%C A368591 4, 6, 7, 4, 6, 8, 4, 6, 9, 4, 7, 8, 4, 7, 9, 4, 8, 9, 5, 6, 7, 5, 6, 8,
%C A368591 5, 6, 9, 5, 7, 8, 5, 7, 9, 5, 8, 9, 6, 7, 8, 6, 7, 9, 6, 8, 9, 7, 8, 9,
%C A368591 0, 1, 20,
%C A368591 1, 2, 12, 3, 12, 30,  1, 2, 13, 4, 12, 30,  1, 2, 14, 5, 12, 30,
%C A368591 1, 2, 15, 6, 12, 30,  1, 2, 16, 7, 12, 30,  1, 2, 17, 8, 12, 30,
%C A368591 1, 2, 18, 9, 12, 30,  1, 2, 23, 4, 12, 31,
%C A368591 2, 3, 12, 3, 12, 31,  2, 3, 13, 4, 12, 31,  2, 3, 14, 5, 12, 31,
%C A368591 2, 3, 15, 6, 12, 31,  2, 3, 16, 7, 12, 31,  2, 3, 17, 8, 12, 31,
%C A368591 2, 3, 18, 9, 12, 31,  2, 3, 23, 4, 12, 32,
%C A368591 3, 4, 12, 3, 12, 32,  3, 4, 13, 4, 12, 32,  3, 4, 14, 5, 12, 32,
%C A368591 3, 4, 15, 6, 12, 32,  3, 4, 16, 7, 12, 32,  3, 4, 17, 8, 12, 32,
%C A368591 3, 4, 18, 9, 12, 32,  3, 4, 23, 4, 12, 33
%H A368591 Eric Angelini, <a href="/A368591/b368591.txt">Table of n, a(n) for n = 1..507</a>
%H A368591 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.
%H A368591 Eric Angelini, <a href="/A368591/a368591_1.pdf">Triples for the new year</a>, local copy of blog post.
%e A368591 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 A368591 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 A368591 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 A368591 Cf. A336611.
%K A368591 base,nonn
%O A368591 1,3
%A A368591 _Eric Angelini_, Dec 31 2023
%E A368591 More than the usual number of terms are shown (with permission of the editors) in order to reach the interesting terms.
%E A368591 Terms moved to comment to avoid excessive length of DATA by _Hugo Pfoertner_, Jan 02 2025