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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
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
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
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Oct 27 2019
STATUS
approved