A302839 Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, A000120(a(n)) <= A053735(a(n+1)).

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 13, 14, 15, 16, 12, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 32, 27, 34, 28, 31, 35, 33, 30, 38, 37, 39, 40, 36, 41, 42, 43, 44, 45, 46, 47, 49, 48, 50, 51, 52, 53, 56, 55, 59, 61, 62, 65, 54, 58, 60, 64, 57, 66, 63, 68

Offset: 1

Author

Rémy Sigrist, Apr 14 2018

Keywords

• nonn
• base

Comments

See A302840 for a sequence with alternate digital sums instead of digital sums.

Examples

			The first terms, alongside their digital sums in bases 2 and 3, are:
  n   a(n)  d2(a(n))  d3(a(n))
  --  ----  --------  --------
   1     1         1         1
   2     2         1         2
   3     3         2         1
   4     4         1         2
   5     5         2         3
   6     6         2         2
   7     7         3         3
   8     8         1         4
   9     9         2         1
  10    10         2         2
  11    11         3         3
  12    13         3         3
  13    14         3         4
  14    15         4         3
  15    16         1         4
  16    12         2         2
  17    17         2         5
  18    18         2         2
  19    19         3         3
  20    20         2         4
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, Colored scatterplot of the first 10000 terms (where the color is function of A053735(a(n)))
• Rémy Sigrist, PARI program for A302839
• Index entries for sequences related to digital root, sum, etc.

Crossrefs

Cf. A000120, A053735, A302840.

Programs

PARI

See Links section.