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A135121 Numbers such that the digital sum base 2 and the digital sum base 3 and the digital sum base 5 all are equal. 5

%I #14 Sep 04 2014 11:22:39

%S 0,1,6,7,10,11,60,61,180,181,285,300,301,575,687,754,826,827,882,883,

%T 900,901,910,911,1254,1305,1311,1326,1327,1335,1377,1383,1386,1387,

%U 1395,1431,1506,1507,1532,1626,1627,1650,1651,1890,1891,1955,2013,2036,2040

%N Numbers such that the digital sum base 2 and the digital sum base 3 and the digital sum base 5 all are equal.

%H Stanislav Sykora, <a href="/A135121/b135121.txt">Table of n, a(n) for n = 1..10000</a>

%e a(2)=6, since ds_2(6)=ds_3(6)=ds_5(6), where ds_x=digital sum base x.

%t Select[Range[0,3000],Length[Union[Total/@IntegerDigits[#,{2,3,5}]]]==1&] (* _Harvey P. Dale_, Sep 04 2014 *)

%Y Cf. A007953, A054899, A131451, A133620, A133900, A134599, A135100, A135110, A135120, A037308, A212222.

%K nonn,base

%O 1,3

%A _Hieronymus Fischer_, Dec 31 2007

%E Added 0, _Stanislav Sykora_, May 06 2012

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)