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A328757
Lexicographically earliest sequence of distinct positive numbers such that for any n > 0, the first nonzero digit of a(n+1)/a(n) is "6".
2
1, 6, 4, 24, 15, 9, 54, 33, 2, 12, 8, 5, 3, 18, 11, 7, 42, 26, 16, 10, 60, 36, 22, 14, 84, 51, 31, 19, 13, 78, 47, 29, 20, 120, 72, 44, 27, 17, 102, 62, 38, 23, 138, 83, 50, 30, 180, 108, 65, 39, 25, 150, 90, 55, 34, 21, 126, 76, 46, 28, 168, 101, 61, 37, 222
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)) = 6.
LINKS
EXAMPLE
The first terms, alongside a(n+1)/a(n), are:
n a(n) a(n+1)/a(n)
-- ---- -----------
1 1 6
2 6 0.666666...
3 4 6
4 24 0.625
5 15 0.6
6 9 6
7 54 0.611111...
8 33 0.060606...
9 2 6
10 12 0.666666...
11 8 0.625
12 5 0.6
CROSSREFS
See A328752 for similar sequences.
Sequence in context: A120462 A236602 A169689 * A061592 A081631 A137174
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Oct 27 2019
STATUS
approved