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

1,2

Comments

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

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.

Example

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

Prog

(PARI) See Links section.

Crossrefs

Cf. A000120, A053735, A302840.

Sequence in context: A257456 A257340 A194974 * A130572 A353838 A183224

Adjacent sequences: A302836 A302837 A302838 * A302840 A302841 A302842

Keyword

nonn,base

Author

Rémy Sigrist, Apr 14 2018

Status

approved