A340255 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 factorial base representation of a(n) or if this is not possible by altering the rightmost leading zero in the factorial base representation of a(n).

0, 1, 3, 5, 4, 2, 8, 14, 20, 18, 6, 12, 16, 10, 22, 23, 11, 17, 13, 7, 19, 21, 9, 15, 39, 63, 87, 111, 99, 27, 51, 75, 81, 33, 57, 105, 117, 45, 69, 93, 91, 43, 67, 115, 97, 25, 49, 73, 79, 31, 55, 103, 109, 37, 61, 85, 89, 41, 65, 113, 101, 29, 53, 77, 83, 35

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..5039

Rémy Sigrist, PARI program for A340255

Index entries for sequences related to factorial base representation

Example

The first terms, alongside their representation in factorial base, are:
  n    a(n)  fact(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    18         300
   10     6         100
   11    12         200
   12    16         220
   13    10         120
   14    22         320
   15    23         321
   16    11         121

Prog

(PARI) \\ See Links section.

Crossrefs

See A340250 for similar sequences.

Sequence in context: A075077 A196771 A266121 * A340256 A354247 A349943

Adjacent sequences: A340252 A340253 A340254 * A340256 A340257 A340258

Keyword

nonn,base

Author

Rémy Sigrist, Jan 02 2021

Status

approved