A032540 Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.

0, 1, 2, 3, 6, 24, 120, 171, 177, 273, 362, 440, 546, 819, 1418, 1560, 1582, 1638, 1760, 1806, 2400, 2841, 2927, 3640, 4706, 4882, 5720, 6328, 6552, 7040, 7224, 9431, 9600, 10101, 14560, 20202, 22880, 24800, 25080, 25312, 28896, 32760, 36974, 38400

Offset

1,3

Comments

n such that A007090(n) is a multiple of n. - Robert Israel, Sep 13 2018

Links

Giovanni Resta, Table of n, a(n) for n = 1..153 (terms < 5*10^12, first 100 terms from Robert Israel)

Example

24 in base 4 is 120, which interpreted in base 10 is 120 = 5*24.

Maple

filter:= proc(n) local L, t;
  L:= convert(n, base, 4);
  t:= add(L[i]*10^(i-1), i=1..nops(L));
  t mod n = 0
end proc:
filter(0):=true:
select(filter, [$0..10^5]); # Robert Israel, Sep 13 2018

Mathematica

Join[{0}, Select[Range[40000], Divisible[FromDigits[IntegerDigits[#, 4]], #]&]]  (* Harvey P. Dale, Apr 20 2011 *)

Crossrefs

Cf. A032539, A032541, A032532.

Sequence in context: A027163 A160683 A099000 * A063728 A333420 A296259

Adjacent sequences: A032537 A032538 A032539 * A032541 A032542 A032543

Keyword

base,nonn

Author

Patrick De Geest, Apr 15 1998

Extensions

More terms from Erich Friedman and Naohiro Nomoto, Aug 06 2001

Offset changed by Robert Israel, Sep 13 2018

Name edited by Jon E. Schoenfield, Oct 25 2019

Status

approved