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

1,3

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)

Links

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

Example

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

Mathematica

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

Crossrefs

Cf. A000695.

Sequence in context: A322386 A309583 A327478 * A102824 A324588 A201364

Adjacent sequences: A062843 A062844 A062845 * A062847 A062848 A062849

Keyword

base,nonn

Author

Erich Friedman, Jul 21 2001

Extensions

Offset changed to 1 by Georg Fischer, Mar 03 2023

Status

approved