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Numbers such that the digital sums in bases 3, 4, 5 and 6 all are equal.
1

%I #6 Sep 28 2016 05:32:10

%S 1,2,188,668,908,1388,1628,2170,2171,2830,2831,3908,4330,4331,6490,

%T 6491,8650,8651,10390,10391,10629,12792,12793,12794,17110,17111,17290,

%U 17291,25930,25931,36312,36313,36314,37812,37813,37814,41532,41533,41534

%N Numbers such that the digital sums in bases 3, 4, 5 and 6 all are equal.

%H G. C. Greubel, <a href="/A135126/b135126.txt">Table of n, a(n) for n = 1..1400</a>

%e a(3)=188, since ds_3(188)=ds_4(188)=ds_5(188)=ds_6(188)=8, where ds_x=digital sum base x.

%t Select[Range[3000], Total[IntegerDigits[#, 3]] == Total[IntegerDigits[#, 4]] == Total[IntegerDigits[#, 5]] == Total[IntegerDigits[#, 6]] &] (* _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