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

Author

Rémy Sigrist, Nov 16 2024

Keywords

• nonn
• base

Comments

Will every integer appear in the sequence?

Examples

			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
		

Links

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

Crossrefs

See A342072 and A378107 for similar sequences.

Programs

PARI

\\ See Links section.