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A328754
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Lexicographically earliest sequence of distinct positive numbers such that for any n > 0, the first nonzero digit of a(n+1)/a(n) is "3".
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2
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1, 3, 9, 27, 10, 30, 11, 4, 12, 36, 13, 5, 15, 45, 14, 42, 16, 6, 2, 7, 21, 8, 24, 72, 22, 66, 20, 60, 18, 54, 17, 51, 19, 57, 171, 52, 156, 47, 141, 43, 129, 39, 117, 37, 111, 34, 102, 31, 93, 28, 84, 26, 78, 25, 75, 23, 69, 207, 63, 189, 58, 174, 53, 159, 48
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OFFSET
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1,2
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COMMENTS
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In other words, for any n > 0, we have an integer k such that floor(10^k * a(n+1)/a(n)) = 3.
Apparently, n -> a(n)/n has two accumulation points: 2 and 2/3.
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LINKS
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EXAMPLE
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The first terms, alongside a(n+1)/a(n), are:
n a(n) a(n+1)/a(n)
-- ---- -----------
1 1 3
2 3 3
3 9 3
4 27 0.370370...
5 10 3
6 30 0.366666...
7 11 0.363636...
8 4 3
9 12 3
10 36 0.361111...
11 13 0.384615...
12 5 3
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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