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

1,2

Comments

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

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

Example

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)

Prog

(PARI) See Links section.

Crossrefs

Cf. A321683, A322845, A336285.

Sequence in context: A130921 A125980 A126320 * A322845 A307705 A240447

Adjacent sequences: A336475 A336476 A336477 * A336479 A336480 A336481

Keyword

nonn,look,base

Author

Rémy Sigrist, Jul 22 2020

Status

approved