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 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. 0
 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, 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, 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS When will 2024 appear? LINKS Table of n, a(n) for n=1..507. Eric Angelini, Triples for the new year, Personal blog, December 31, 2023. EXAMPLE 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]. 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]. 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]. CROSSREFS Cf. A336611. Sequence in context: A029318 A358402 A210381 * A029297 A289871 A257563 Adjacent sequences: A368588 A368589 A368590 * A368592 A368593 A368594 KEYWORD base,nonn AUTHOR Eric Angelini, Dec 31 2023 EXTENSIONS More than the usual number of terms are shown (with permission of the editors) in order to reach the interesting terms. STATUS approved

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Last modified September 19 04:34 EDT 2024. Contains 376004 sequences. (Running on oeis4.)