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

0,3

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).

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

Formula

T(n, 1) = 1.

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

Example

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

Prog

(PARI) See Links section.

Crossrefs

Cf. A330941, A358893, A361398.

Sequence in context: A095258 A114745 A352915 * A361379 A039915 A085346

Adjacent sequences: A361398 A361399 A361400 * A361402 A361403 A361404

Keyword

nonn,base,tabf

Author

Rémy Sigrist, Mar 10 2023

Status

approved