A340256 Lexicographically earliest sequence of distinct nonnegative terms such that for any n >= 0, a(n+1) is obtained by altering the leftmost digit (which is not a leading zero) in the primorial base representation of a(n) or if this is not possible by altering the rightmost leading zero in the primorial base representation of a(n).

0, 1, 3, 5, 4, 2, 8, 14, 20, 26, 24, 6, 12, 18, 22, 10, 16, 28, 29, 11, 17, 23, 19, 7, 13, 25, 27, 9, 15, 21, 51, 81, 111, 141, 171, 201, 183, 33, 63, 93, 123, 153, 159, 39, 69, 99, 129, 189, 195, 45, 75, 105, 135, 165, 177, 57, 87, 117, 147, 207, 205, 55, 85

Offset

0,3

Comments

This sequence appears to be a permutation of the nonnegative integers.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..2309

Rémy Sigrist, PARI program for A340256

Index entries for sequences related to primorial base

Example

The first terms, alongside their representation in primorial base, are:
  n     a(n)  prim(a(n))
  ----  ----  ----------
     0     0           0
     1     1           1
     2     3          11
     3     5          21
     4     4          20
     5     2          10
     6     8         110
     7    14         210
     8    20         310
     9    26         410
    10    24         400
    11     6         100
    12    12         200
    13    18         300
    14    22         320
    15    10         120
    16    16         220

Prog

(PARI) See Links section.

Crossrefs

See A340250 for similar sequences.

Sequence in context: A196771 A266121 A340255 * A354247 A349943 A243296

Adjacent sequences: A340253 A340254 A340255 * A340257 A340258 A340259

Keyword

nonn,base

Author

Rémy Sigrist, Jan 02 2021

Status

approved