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A032540 When expressed in base 4 and then interpreted in base 10, is a multiple of the original number. 4

%I

%S 0,1,2,3,6,24,120,171,177,273,362,440,546,819,1418,1560,1582,1638,

%T 1760,1806,2400,2841,2927,3640,4706,4882,5720,6328,6552,7040,7224,

%U 9431,9600,10101,14560,20202,22880,24800,25080,25312,28896,32760,36974,38400

%N When expressed in base 4 and then interpreted in base 10, is a multiple of the original number.

%C n such that A007090(n) is a multiple of n. - _Robert Israel_, Sep 13 2018

%H Robert Israel, <a href="/A032540/b032540.txt">Table of n, a(n) for n = 1..100</a>

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

%p filter:= proc(n) local L,t;

%p L:= convert(n,base,4);

%p t:= add(L[i]*10^(i-1),i=1..nops(L));

%p t mod n = 0

%p end proc:

%p filter(0):=true:

%p select(filter, [$0..10^5]); # _Robert Israel_, Sep 13 2018

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

%Y Cf. A032539, A032541, A032532.

%K base,nonn

%O 1,3

%A _Patrick De Geest_, Apr 1998

%E More terms from _Erich Friedman_ and _Naohiro Nomoto_, Aug 06 2001

%E Offset changed by _Robert Israel_, Sep 13 2018

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Last modified June 25 21:43 EDT 2019. Contains 324357 sequences. (Running on oeis4.)