A302840 Lexicographically earliest sequence of distinct positive terms such that any n > 0, A065359(a(n)) <= A065368(a(n+1)).

1, 2, 3, 4, 5, 10, 6, 8, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 21, 23, 26, 24, 25, 29, 38, 27, 28, 37, 41, 31, 45, 32, 35, 36, 40, 30, 44, 39, 46, 34, 42, 33, 47, 43, 48, 49, 50, 51, 52, 53, 74, 55, 65, 82, 73, 77, 83, 86, 90, 56, 59, 63, 64, 81

Offset

1,2

Comments

See A302839 for a sequence with digital sums instead of alternate digital sums.

Links

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

Rémy Sigrist, Colored scatterplot of the first 25000 terms (where the color is function of A065368(a(n)))

Rémy Sigrist, PARI program for A302840

Index entries for sequences related to digital root, sum, etc.

Example

The first terms, alongside their alternate digital sums in bases 2 and 3, are:
  n   a(n)  s2(a(n)  s3(a(n))
  --  ----  -------  --------
   1     1        1         1
   2     2       -1         2
   3     3        0        -1
   4     4        1         0
   5     5        2         1
   6    10       -2         2
   7     6        0        -2
   8     8       -1         0
   9     7        1        -1
  10     9        0         1
  11    11       -1         3
  12    12        0         0
  13    13        1         1
  14    14       -1         2
  15    15        0        -1
  16    16        1         0
  17    17        2         1
  18    18        0         2
  19    19        1         3
  20    20        2         4

Prog

(PARI) See Links section.

Crossrefs

Cf. A065359, A065368, A302839.

Sequence in context: A067033 A067034 A357449 * A357082 A360521 A320870

Adjacent sequences: A302837 A302838 A302839 * A302841 A302842 A302843

Keyword

nonn,base

Author

Rémy Sigrist, Apr 14 2018

Status

approved