cp's OEIS Frontend

A115589 Multiply first digit by k, append result to sequence; multiply second digit by k, append result to sequence; multiply third digit by k, append result to sequence; etc. a(1)=1, k=7 case.

%I A115589 #9 Jan 12 2015 03:47:32
%S A115589 1,7,49,28,63,14,56,42,21,7,28,35,42,28,14,14,7,49,14,56,21,35,28,14,
%T A115589 14,56,7,28,7,28,49,28,63,7,28,35,42,14,7,21,35,14,56,7,28,7,28,35,42,
%U A115589 49,14,56,49,14,56,28,63,14,56,42,21,49,14,56,21,35,28,14,7,28,49,14,7,21
%N A115589 Multiply first digit by k, append result to sequence; multiply second digit by k, append result to sequence; multiply third digit by k, append result to sequence; etc. a(1)=1, k=7 case.
%C A115589 All terms are evidently multiples of 7: 7, 14, ..., 63. Is the sequence periodic? Some repeating patterns are obvious, e.g., 63, 7, 28, 35, 42, but no cycle appears.
%t A115589 ss=s={1};Do[d=7s[[i]];AppendTo[ss,d];s=Flatten[{s,IntegerDigits[d]}],{i,200}];ss
%Y A115589 Cf. A115425.
%K A115589 nonn,base
%O A115589 1,2
%A A115589 _Zak Seidov_, Mar 09 2006