A343045 a(0) = 0 and for any n > 0, a(n) = A343044(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, 29, 29, 29, 29, 29, 29, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 89, 89, 89, 89, 89, 89, 89

Offset

0,3

Comments

This sequence has similarities with A087052 and A343041.

If we remove duplicate terms, then we obtain A343048.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..10000

Rémy Sigrist, PARI program for A343045

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

Index entries for sequences related to primorial base

Example

The first terms, in decimal and in primorial base, are:
  n   a(n)  prim(n)  prim(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. A343041, A343044, A343048.

Cf. A087052.

Sequence in context: A345001 A082434 A078752 * A343041 A124115 A124114

Adjacent sequences: A343042 A343043 A343044 * A343046 A343047 A343048

Keyword

nonn,base

Author

Rémy Sigrist, Apr 05 2021

Status

approved