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A135123 Numbers such that the digital sum base 2 and the digital sum base 3 and the digital sum base 6 all are equal. 1

%I

%S 1,12,13,114,115,366,367,477,687,864,865,876,877,1086,1087,1305,1326,

%T 1327,1386,1387,1596,1597,1626,1627,1656,1657,1746,1747,1836,1837,

%U 1956,1957,2595,2607,2646,2647,3276,3277,3906,3907,3948,3949,4068,4069,5438

%N Numbers such that the digital sum base 2 and the digital sum base 3 and the digital sum base 6 all are equal.

%H G. C. Greubel, <a href="/A135123/b135123.txt">Table of n, a(n) for n = 1..1200</a>

%e a(2)=12, since ds_2(12)=ds_3(12)=ds_6(12), where ds_x=digital sum base x.

%t Select[Range[5000], Total[IntegerDigits[#, 2]] == Total[IntegerDigits[#, 3]] == Total[IntegerDigits[#, 6]] &] (* _G. C. Greubel_, Sep 26 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 14 12:11 EDT 2021. Contains 342949 sequences. (Running on oeis4.)