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 A306992 Lexicographically earliest sequence of distinct positive terms such that the product of two consecutive terms is digitally balanced. 2
 1, 2, 5, 7, 6, 25, 9, 15, 10, 17, 12, 13, 4, 3, 14, 11, 18, 31, 19, 29, 8, 23, 26, 22, 40, 63, 33, 69, 36, 67, 34, 21, 99, 27, 30, 82, 28, 81, 35, 61, 16, 47, 50, 53, 48, 73, 37, 20, 41, 56, 45, 49, 43, 52, 51, 42, 54, 46, 55, 44, 57, 38, 65, 127, 66, 135, 70 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Digitally balanced numbers correspond to A031443. This sequence has similarities with A269361. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 Rémy Sigrist, PARI program for A306992 EXAMPLE The first terms, alongside the binary representation of a(n)*a(n+1), are: n a(n) bin(a(n)*a(n+1)) -- ---- ---------------- 1 1 10 2 2 1010 3 5 100011 4 7 101010 5 6 10010110 6 25 11100001 7 9 10000111 8 15 10010110 9 10 10101010 10 17 11001100 11 12 10011100 12 13 110100 13 4 1100 14 3 101010 15 14 10011010 16 11 11000110 PROG (PARI) See Links section. CROSSREFS See A306994 for the additive variant. Cf. A031443, A269361. Sequence in context: A202392 A290410 A078320 * A325437 A141430 A021392 Adjacent sequences: A306989 A306990 A306991 * A306993 A306994 A306995 KEYWORD nonn,look,base AUTHOR Rémy Sigrist, Mar 18 2019 STATUS approved

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Last modified May 21 15:23 EDT 2024. Contains 372738 sequences. (Running on oeis4.)