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

Author

Rémy Sigrist, Apr 03 2021

Keywords

• nonn
• base

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.

Examples

			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
		

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

Crossrefs

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

Programs

PARI

See Links section.