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 A328760 Lexicographically earliest sequence of distinct positive numbers such that for any n > 0, the first nonzero digit of a(n+1)/a(n) is "9". 2
 1, 9, 81, 8, 72, 7, 63, 6, 54, 5, 45, 41, 4, 36, 33, 3, 27, 25, 23, 21, 2, 18, 17, 16, 15, 14, 13, 12, 11, 10, 90, 82, 74, 67, 61, 55, 50, 46, 42, 38, 35, 32, 29, 28, 26, 24, 22, 20, 19, 171, 154, 139, 126, 114, 103, 93, 84, 76, 69, 64, 58, 53, 48, 44, 40, 37 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS In other words, for any n > 0, we have an integer k such that floor(10^k * a(n+1)/a(n)) = 9. The scatterplot of n -> a(n)/n shows 22 quivering lines. LINKS Rémy Sigrist, Table of n, a(n) for n = 1..10000 EXAMPLE The first terms, alongside a(n+1)/a(n), are: n a(n) a(n+1)/a(n) -- ---- ----------- 1 1 9 2 9 9 3 81 0.098765... 4 8 9 5 72 0.097222... 6 7 9 7 63 0.095238... 8 6 9 9 54 0.092592... 10 5 9 11 45 0.911111... 12 41 0.097560... CROSSREFS See A328752 for similar sequences. Sequence in context: A352386 A332702 A117817 * A228591 A219664 A107346 Adjacent sequences: A328757 A328758 A328759 * A328761 A328762 A328763 KEYWORD nonn,base AUTHOR Rémy Sigrist, Oct 27 2019 STATUS approved

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Last modified September 15 22:11 EDT 2024. Contains 375959 sequences. (Running on oeis4.)