A342766 a(1) = 1, for any n > 1, a(n) = A342765(a(n-1), n).

1, 2, 3, 6, 10, 10, 14, 28, 42, 42, 66, 66, 78, 78, 78, 156, 204, 204, 228, 228, 228, 228, 276, 276, 460, 460, 690, 690, 870, 870, 930, 1860, 1860, 1860, 1860, 1860, 2220, 2220, 2220, 2220, 2460, 2460, 2580, 2580, 2580, 2580, 2820, 2820, 3948, 3948, 3948, 3948

Offset: 1

Author

Rémy Sigrist, Apr 02 2021

Keywords

• nonn

Comments

This sequence has similarities with A087052.

This sequence is nondecreasing.

A new value is introduced at each power of prime (A000961).

The ordinal transform of the sequence is A276781.

The RUNS transform of the sequence is A057820.

Examples

			The first terms, alongside their prime factorizations, are:
  n   a(n)  n          a(n)
  --  ----  ---------  ----------
   1     1          1           1
   2     2          2           2
   3     3          3           3
   4     6      2 * 2       2 * 3
   5    10          5       2 * 5
   6    10      2 * 3       2 * 5
   7    14          7       2 * 7
   8    28  2 * 2 * 2   2 * 2 * 7
   9    42      3 * 3   2 * 3 * 7
  10    42      2 * 5   2 * 3 * 7
  11    66         11   2 * 3 * 11
  12    66  2 * 2 * 3   2 * 3 * 11
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, PARI program for A342766
• Index entries for sequences related to dismal (or lunar) arithmetic

Crossrefs

Cf. A000961, A057820, A087052, A276781, A342765.

Programs

PARI

See Links section.