A358893 Irregular triangle T(n, k), n >= 0, k = 1..A193020(n), read by rows: the n-th row lists the numbers obtained by self-shuffling the binary expansion of n.

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

Offset

0,2

Comments

See A358892 for the distinct values.

n and T(n, k) have the same parity.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..4768 (rows for n = 0..127 flattened)

Rémy Sigrist, PARI program

Index entries for sequences related to binary expansion of n

Formula

T(n, 1) = A330940(n).

T(n, A193020(n)) = A330941(n).

Example

Triangle T begins (in decimal):
    n   n-th row
    --  --------
     0  0,
     1  3,
     2  10, 12,
     3  15,
     4  36, 40, 48,
     5  43, 45, 51, 53,
     6  54, 58, 60,
     7  63,
     8  136, 144, 160, 192,
     9  147, 149, 153, 163, 165, 169, 195, 197, 201,
     ...
Triangle T begins (in binary):
    n     n-th row
    ----  --------
       0  0,
       1  11,
      10  1010, 1100,
      11  1111,
     100  100100, 101000, 110000,
     101  101011, 101101, 110011, 110101,
     110  110110, 111010, 111100,
     111  111111,
    1000  10001000, 10010000, 10100000, 11000000,
    ...

Prog

(PARI) See Links section.

Crossrefs

Cf. A193020 (row lengths), A330940, A330941, A358892.

Sequence in context: A020890 A343892 A358892 * A317671 A031453 A345961

Adjacent sequences: A358890 A358891 A358892 * A358894 A358895 A358896

Keyword

nonn,base,tabf

Author

Rémy Sigrist, Dec 05 2022

Status

approved