A382262 Nonnegative numbers whose factorial base expansion, when read from right to left, corresponds to the ordinal transform of some finite sequence, with offset 0.

0, 1, 3, 5, 9, 11, 15, 23, 33, 35, 39, 47, 57, 59, 63, 83, 87, 119, 153, 155, 159, 167, 177, 179, 183, 203, 207, 239, 273, 275, 279, 287, 297, 323, 327, 395, 399, 417, 419, 423, 527, 563, 567, 719, 873, 875, 879, 887, 897, 899, 903, 923, 927, 959, 993, 995

Offset

0,3

Comments

We ignore leading zeros in factorial base expansions.

A subsequence of A120696.

There are A000085(k) terms whose factorial base expansion has k digits.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..13231

Rémy Sigrist, PARI program

Index entries for sequences related to factorial base representation

Example

The first terms, in decimal and in factorial base, are:
  n   a(n)  fact(a(n))
  --  ----  ----------
   0     0  0
   1     1  1
   2     3  1,1
   3     5  2,1
   4     9  1,1,1
   5    11  1,2,1
   6    15  2,1,1
   7    23  3,2,1
   8    33  1,1,1,1
   9    35  1,1,2,1
  10    39  1,2,1,1
  11    47  1,3,2,1
  12    57  2,1,1,1
  13    59  2,1,2,1
  14    63  2,2,1,1
  15    83  3,1,2,1
  16    87  3,2,1,1
  17   119  4,3,2,1
  18   153  1,1,1,1,1

Prog

(PARI) \\ See Links section.

Crossrefs

Cf. A000085, A120696, A382263.

Sequence in context: A233760 A244780 A024903 * A322957 A018486 A261194

Adjacent sequences: A382259 A382260 A382261 * A382263 A382264 A382265

Keyword

nonn,base

Author

Rémy Sigrist, Mar 19 2025

Status

approved