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".

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

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  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

Adjacent sequences: A328754 A328755 A328756 * A328758 A328759 A328760

Keyword

nonn,base

Author

Rémy Sigrist, Oct 27 2019

Status

approved