A361401 Irregular table T(n, k), n >= 0, k = 1..A361398(n); the n-th row lists the numbers whose binary expansion is a self-infiltration of that of n.

0, 1, 3, 2, 4, 6, 10, 12, 3, 7, 15, 4, 8, 12, 16, 20, 24, 36, 40, 48, 5, 9, 11, 13, 19, 21, 25, 27, 43, 45, 51, 53, 6, 12, 14, 26, 28, 30, 54, 58, 60, 7, 15, 31, 63, 8, 16, 24, 32, 40, 48, 64, 72, 80, 96, 136, 144, 160, 192

Offset: 0

Author

Rémy Sigrist, Mar 10 2023

Keywords

• nonn
• base
• tabf

Comments

See A361398 for the definition of an infiltration (a self-infiltration is an infiltration a of word with itself).

The terms of the n-th row of A358893 appear in the n-th row of the present table (they correspond to terms with twice as many binary digits as n).

Examples

			Table T(n, k) begins:
  n  n-th row
  -  ---------------------------------------------------------
  0  0
  1  1, 3
  2  2, 4, 6, 10, 12
  3  3, 7, 15
  4  4, 8, 12, 16, 20, 24, 36, 40, 48
  5  5, 9, 11, 13, 19, 21, 25, 27, 43, 45, 51, 53
  6  6, 12, 14, 26, 28, 30, 54, 58, 60
  7  7, 15, 31, 63
  8  8, 16, 24, 32, 40, 48, 64, 72, 80, 96, 136, 144, 160, 192
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..10102 (rows for n = 0..82 flattened)
• Rémy Sigrist, PARI program
• Index entries for sequences related to binary expansion of n

Crossrefs

Cf. A330941, A358893, A361398.

Programs

PARI

See Links section.

Formula

T(n, 1) = 1.

T(n, A361398(n)) = A330941(n).