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 A338292 Lexicographically earliest sequence of positive integers such that for any distinct m and n, (a(m+1-a(m)), ..., a(m)) <> (a(n+1-a(n)), ..., a(n)). 2
 1, 2, 2, 3, 2, 3, 3, 3, 4, 2, 3, 4, 3, 3, 4, 4, 3, 4, 4, 4, 4, 5, 2, 3, 4, 4, 5, 3, 3, 4, 5, 4, 3, 4, 5, 5, 3, 4, 4, 5, 4, 4, 4, 5, 5, 4, 4, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 5, 6, 2, 3, 4, 5, 5, 5, 6, 3, 3, 4, 5, 5, 6, 4, 3, 4, 5, 6, 4, 4, 4, 5, 6, 5, 3, 4, 5, 5 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS In other words, for any n > 0, the tuple comprising the a(n) terms up to and including a(n) is always unique. This sequence is unbounded. The number 1 appears once. The number 2 appears after the first occurrence of a number. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Rémy Sigrist, PARI program for A338292 EXAMPLE The first terms, alongside the corresponding tuples, are: n a(n) (a(n+1-a(n)), ..., a(n)) -- ---- ------------------------ 1 1 (1) 2 2 (1, 2) 3 2 (2, 2) 4 3 (2, 2, 3) 5 2 (3, 2) 6 3 (3, 2, 3) 7 3 (2, 3, 3) 8 3 (3, 3, 3) 9 4 (3, 3, 3, 4) 10 2 (4, 2) 11 3 (4, 2, 3) 12 4 (4, 2, 3, 4) 13 3 (3, 4, 3) 14 3 (4, 3, 3) 15 4 (4, 3, 3, 4) 16 4 (3, 3, 4, 4) PROG (PARI) See Links section. CROSSREFS See A338283 for a similar sequence. Sequence in context: A057941 A358550 A126071 * A359728 A217865 A185166 Adjacent sequences: A338289 A338290 A338291 * A338293 A338294 A338295 KEYWORD nonn AUTHOR Rémy Sigrist, Oct 20 2020 STATUS approved

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Last modified May 19 19:45 EDT 2024. Contains 372703 sequences. (Running on oeis4.)