A336478 Lexicographically earliest sequence of distinct positive terms such that the sum of two consecutive terms has distinct digits in primorial base.

1, 3, 2, 8, 5, 9, 4, 6, 7, 12, 10, 13, 15, 11, 14, 38, 20, 32, 26, 53, 27, 25, 33, 19, 39, 40, 18, 34, 24, 28, 30, 22, 36, 16, 42, 37, 21, 31, 48, 47, 56, 23, 29, 50, 35, 17, 41, 44, 51, 49, 46, 54, 61, 43, 52, 63, 55, 45, 58, 57, 59, 60, 65, 68, 62, 71, 69

Offset: 1

Author

Rémy Sigrist, Jul 22 2020

Keywords

• nonn
• look
• base

Comments

In other words, for any n > 0, a(n) + a(n+1) belongs to A321683.

Examples

			The first terms, alongside the primorial representation of a(n)+a(n+1), are:
  n   a(n)  prim(a(n)+a(n+1))
  --  ----  -----------------
   1     1    (2,0)
   2     3    (2,1)
   3     2  (1,2,0)
   4     8  (2,0,1)
   5     5  (2,1,0)
   6     9  (2,0,1)
   7     4  (1,2,0)
   8     6  (2,0,1)
   9     7  (3,0,1)
  10    12  (3,2,0)
  11    10  (3,2,1)
  12    13  (4,2,0)
  13    15  (4,1,0)
  14    11  (4,0,1)
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, Scatterplot of the first 1000000 terms
• Rémy Sigrist, PARI program for A336478
• Index entries for sequences related to primorial base

Crossrefs

Cf. A321683, A322845, A336285.

Programs

PARI

See Links section.