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 A306869 Lexicographically earliest sequence of distinct positive terms such that the binary representation of the bitwise-OR of two consecutive terms has exactly one run of consecutive ones. 2
 1, 2, 3, 4, 6, 5, 7, 8, 12, 10, 13, 11, 14, 9, 15, 16, 24, 20, 26, 21, 27, 22, 25, 23, 28, 18, 29, 19, 30, 17, 31, 32, 48, 40, 52, 42, 53, 43, 54, 41, 55, 44, 50, 45, 51, 46, 49, 47, 56, 36, 58, 37, 59, 38, 57, 39, 60, 34, 61, 35, 62, 33, 63, 64, 96, 80, 104 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This sequence has similarities with A175343; in both sequences, the binary representation of the bitwise OR of two consecutive terms has exactly one run of consecutive ones. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..8192 Rémy Sigrist, PARI program for A306869 FORMULA A069010(a(n) OR a(n+1)) = 1. EXAMPLE The first terms, alongside the binary representation of a(n) OR a(n+1), are: a a(n) bin(a(n) OR a(n+1)) -- ---- ------------------- 1 1 11 2 2 11 3 3 111 4 4 110 5 6 111 6 5 111 7 7 1111 8 8 1100 9 12 1110 10 10 1111 11 13 1111 12 11 1111 13 14 1111 14 9 1111 15 15 11111 16 16 11000 PROG (PARI) See Links section. CROSSREFS Cf. A069010, A175343. Sequence in context: A367307 A139706 A333777 * A139708 A333776 A305410 Adjacent sequences: A306866 A306867 A306868 * A306870 A306871 A306872 KEYWORD nonn,base AUTHOR Rémy Sigrist, Mar 14 2019 STATUS approved

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Last modified June 12 12:13 EDT 2024. Contains 373331 sequences. (Running on oeis4.)