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A135125 Numbers such that the digital sum base 2 and the digital sum base 5 and the digital sum base 10 all are equal. 1

%I #6 Sep 28 2016 05:32:04

%S 1,1300,1301,5010,5011,7102,7103,10050,10051,10235,11135,12250,12251,

%T 14015,16102,16103,20060,20061,20206,20207,23230,23231,32012,32013,

%U 32302,32303,32410,32411,44000,44001,45010,45011,50012,50013,50300

%N Numbers such that the digital sum base 2 and the digital sum base 5 and the digital sum base 10 all are equal.

%H G. C. Greubel, <a href="/A135125/b135125.txt">Table of n, a(n) for n = 1..989</a>

%e a(2)=1300, since ds_2(1300)=ds_5(1300)=ds_10(1300), where ds_x=digital sum base x.

%t Select[Range[10000], Total[IntegerDigits[#, 2]] == Total[IntegerDigits[#, 5]] == Total[IntegerDigits[#, 10]] &] (* _G. C. Greubel_, Sep 27 2016 *)

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

%K nonn,base

%O 1,2

%A _Hieronymus Fischer_, Dec 31 2007

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Last modified April 18 08:04 EDT 2024. Contains 371769 sequences. (Running on oeis4.)