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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: A317052 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 July 4 11:58 EDT 2020. Contains 335448 sequences. (Running on oeis4.)