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

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

1,2

Comments

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).

Links

Table of n, a(n) for n=1..56.

Rémy Sigrist, PARI program

Index entries for sequences related to binary expansion of n

Example

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.

Prog

(PARI) See Links section.

Crossrefs

Cf. A001969, A053754, A191755, A358893.

Sequence in context: A088338 A020890 A343892 * A358893 A317671 A031453

Adjacent sequences: A358889 A358890 A358891 * A358893 A358894 A358895

Keyword

nonn,base

Author

Rémy Sigrist, Dec 05 2022

Status

approved