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Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,1.
1

%I #10 Apr 19 2019 09:36:53

%S 3,16,83,416,2083,10416,52083,260416,1302083,6510416,32552083,

%T 162760416,813802083,4069010416,20345052083,101725260416,508626302083,

%U 2543131510416,12715657552083,63578287760416,317891438802083

%N Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 3,1.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (5,1,-5).

%F G.f.: x*(3+x) / ( (x-1)*(5*x-1)*(1+x) ). - _R. J. Mathar_, Apr 26 2015

%t Table[FromDigits[PadRight[{},n,{3,1}],5],{n,30}] (* _Harvey P. Dale_, Apr 19 2019 *)

%K nonn,base,easy

%O 1,1

%A _Clark Kimberling_