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%I #9 Aug 20 2020 18:57:10
%S 2,2,3,2,3,3,3,2,3,3,5,3,4,3,3,2,3,3,6,3,6,5,3,3,5,5,2,3,3,3,3,2,3,3,
%T 6,3,8,6,3,3,2,9,4,5,6,5,5,3,5,5,4,5,6,2,5,3,5,3,6,3,6,3,3,2,3,3,6,3,
%U 7,6,10,3,9,11,5,7,8,4,5,3,9,2,8,9,7,4,6,5,6,6,3,5,5,5,5,3,5,5,3,5,9,11,7,5
%N Smallest k>1 such that in binary representation n is contained in n^k.
%C A136511(n) = n^a(n);
%C a(A018826(n)) = 2; 1 < a(A136490(n)) <= 3;
%C conjecture: a(n) is defined for all n.
%H R. Zumkeller, <a href="/A136510/b136510.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%t Table[Module[{k=2},While[SequenceCount[IntegerDigits[n^k,2],IntegerDigits[ n,2]]==0,k++];k],{n,110}] (* _Harvey P. Dale_, Aug 20 2020 *)
%K nonn,base
%O 1,1
%A _Reinhard Zumkeller_, Jan 03 2008
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