A378106 Lexicographically earliest sequence of distinct positive integers such that among two consecutive terms, the least term divides a positive number whose decimal expansion appears in that of the other term.

1, 2, 4, 8, 16, 3, 6, 12, 24, 48, 96, 9, 18, 36, 72, 7, 14, 28, 56, 5, 10, 20, 40, 80, 160, 15, 30, 60, 120, 240, 480, 32, 64, 128, 256, 25, 50, 100, 200, 400, 800, 1600, 75, 150, 300, 600, 1200, 2400, 4800, 192, 19, 38, 76, 152, 13, 26, 52, 104, 208, 416, 41

Offset

1,2

Comments

Will every integer appear in the sequence?

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program

Example

The first terms are:
  n   a(n)
  --  ----
   1     1
   2     2
   3     4
   4     8
   5    16
   6     3      (3 divides 6, and 6 appears in 16)
   7     6
   8    12
   9    24
  10    48
  11    96
  12     9
  13    18
  14    36
  15    72

Prog

(PARI) \\ See Links section.

Crossrefs

See A342072 and A378107 for similar sequences.

Sequence in context: A036122 A050124 A101943 * A331440 A247243 A341819

Adjacent sequences: A378103 A378104 A378105 * A378107 A378108 A378109

Keyword

nonn,base

Author

Rémy Sigrist, Nov 16 2024

Status

approved