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

1,2

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.

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

Example

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

Prog

(PARI) See Links section.

Crossrefs

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

Sequence in context: A056058 A352722 A028255 * A048633 A225175 A286954

Adjacent sequences: A342763 A342764 A342765 * A342767 A342768 A342769

Keyword

nonn

Author

Rémy Sigrist, Apr 02 2021

Status

approved