A343041 a(0) = 0 and for any n > 0, a(n) = A343040(a(n-1), n).

0, 1, 3, 3, 5, 5, 11, 11, 11, 11, 11, 11, 17, 17, 17, 17, 17, 17, 23, 23, 23, 23, 23, 23, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 47, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71, 71

Offset

0,3

Comments

This sequence has similarities with A087052.

If we remove duplicate terms, then we obtain A200748.

The value A200748(k) appears A130493(k) times for any k > 0.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..5039

Rémy Sigrist, PARI program for A343041

Index entries for sequences related to dismal (or lunar) arithmetic

Index entries for sequences related to factorial base representation

Example

The first terms, in decimal and in factorial base, are:
  n   a(n)  fact(n)  fact(a(n))
  --  ----  -------  ----------
   0     0        0           0
   1     1        1           1
   2     3       10          11
   3     3       11          11
   4     5       20          21
   5     5       21          21
   6    11      100         121
   7    11      101         121
   8    11      110         121
   9    11      111         121
  10    11      120         121
  11    11      121         121
  12    17      200         221
  13    17      201         221
  14    17      210         221

Prog

(PARI) See Links section.

Crossrefs

Cf. A087052, A130493, A200748, A343040, A343045.

Sequence in context: A082434 A078752 A343045 * A124115 A124114 A077893

Adjacent sequences: A343038 A343039 A343040 * A343042 A343043 A343044

Keyword

nonn,base

Author

Rémy Sigrist, Apr 03 2021

Status

approved