A348135 Irregular triangle T(n, k), n > 0, k = 1..A067399(n), read by rows; the n-th row gives, in ascending order, the distinct integers k such that A067138(k, m) = n for some m.

1, 1, 2, 1, 3, 1, 2, 4, 1, 5, 1, 2, 3, 6, 1, 3, 7, 1, 2, 4, 8, 1, 9, 1, 2, 5, 10, 1, 11, 1, 2, 3, 4, 6, 12, 1, 13, 1, 2, 3, 6, 7, 14, 1, 3, 5, 7, 15, 1, 2, 4, 8, 16, 1, 17, 1, 2, 9, 18, 1, 19, 1, 2, 4, 5, 10, 20, 1, 5, 21, 1, 2, 11, 22, 1, 23, 1, 2, 3, 4, 6, 8, 12, 24

Offset

1,3

Comments

The n-th row corresponds to the divisors of n in OR-numbral arithmetic.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..7412 (first 1024 rows flattened)

Rémy Sigrist, PARI program for A348135

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

Formula

T(n, 1) = 1.

T(n, A067399(n)) = n.

Example

The triangle starts:
      1:   [1]
      2:   [1, 2]
      3:   [1, 3]
      4:   [1, 2, 4]
      5:   [1, 5]
      6:   [1, 2, 3, 6]
      7:   [1, 3, 7]
      8:   [1, 2, 4, 8]
      9:   [1, 9]
     10:   [1, 2, 5, 10]
     11:   [1, 11]
     12:   [1, 2, 3, 4, 6, 12]
     13:   [1, 13]
     14:   [1, 2, 3, 6, 7, 14]
     15:   [1, 3, 5, 7, 15]
     16:   [1, 2, 4, 8, 16]

Prog

(PARI) See Links section.

Crossrefs

Cf. A067138, A067399, A346795.

Sequence in context: A169896 A210208 A162306 * A368194 A233773 A027750

Adjacent sequences: A348132 A348133 A348134 * A348136 A348137 A348138

Keyword

nonn,tabf

Author

Rémy Sigrist, Oct 02 2021

Status

approved