A358893 -id:A358893 - cp's OEIS frontend

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

Rémy Sigrist, Mar 10 2023

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).

			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

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

Cf. A330941, A358893, A361398.

PARI
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See Links section.
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T(n, 1) = 1.

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

A358892 Numbers obtained by self-shuffling the binary expansion of nonnegative numbers.

Original entry on oeis.org

0, 3, 10, 12, 15, 36, 40, 43, 45, 48, 51, 53, 54, 58, 60, 63, 136, 144, 147, 149, 153, 160, 163, 165, 169, 170, 172, 175, 178, 180, 183, 187, 192, 195, 197, 201, 202, 204, 207, 210, 212, 215, 216, 219, 221, 228, 232, 235, 237, 238, 240, 243, 245, 246, 250, 252

Offset: 1

Rémy Sigrist, Dec 05 2022

This sequence lists the distinct values in A358893, in ascending order.
For any n > 0, there are A191755(n)/2 terms with binary length 2*n.
All terms are evil (A001969) and have an even number of binary digits (A053754).

			The binary expansion of 204 is "11001100" and can be obtained by self-shuffling the binary expansion of 10 ("1010") or 12 ("1100"), so 204 is a term.

Rémy Sigrist, PARI program
Index entries for sequences related to binary expansion of n

Cf. A001969, A053754, A191755, A358893.

PARI
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See Links section.
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cp's OEIS Frontend

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.

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