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

Author

Rémy Sigrist, Dec 05 2022

Keywords

• nonn
• base

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).

Examples

			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.
		

Links

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

Crossrefs

Cf. A001969, A053754, A191755, A358893.

Programs

PARI

See Links section.