A062846 When expressed in base 2 and then interpreted in base 4, is a multiple of the original number.

0, 1, 2, 4, 7, 8, 14, 16, 21, 28, 31, 32, 42, 56, 62, 64, 73, 84, 112, 124, 127, 128, 146, 168, 219, 224, 248, 254, 256, 273, 292, 336, 341, 438, 448, 496, 508, 511, 512, 546, 584, 672, 682, 876, 896, 992, 1016, 1022, 1024, 1057, 1092, 1168, 1344, 1364, 1533

Offset: 1

Author

Erich Friedman, Jul 21 2001

Keywords

• base
• nonn

Comments

From Rémy Sigrist, Mar 15 2017: (Start)

Also numbers n such that A000695(n) is a multiple of n.

If n belongs to this sequence, then 2*n also belongs to this sequence.

If 2*n belongs to this sequence, then n also belongs to this sequence.

(End)

Examples

			7 in base 2 is 111, which interpreted in base 4 is 21=3*7
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..2001

Crossrefs

Cf. A000695.

Programs

Mathematica

Join[{0},Select[Range[1600],Divisible[FromDigits[IntegerDigits[#,2],4],#]&]] (* Harvey P. Dale, Nov 29 2015 *)

Extensions

Offset changed to 1 by Georg Fischer, Mar 03 2023