Search: id:A057227
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%I A057227
%S A057227 1,2,2,1,2,6,1,2,2,10,6,2,1,14,2,1,2,18,10,2,6,22,2,6,1,26,14,1,2,30,1,
%T A057227 2,2,34,18,2,10,38,2,10,6,42,22,6,2,46,6,2,1,50,26,1,14,54,1,14,2,58,
%U A057227 30,2,1,62,2,1,2,66,34,2,18,70,2,18,10,74,38,10,2,78,10,2,6,82,42,6,22
%N A057227 Smallest member of smallest set S(n) of positive integers containing 
               n which satisfies "k is in S, iff 2k-1 is in S, iff 4k is in S".
%C A057227 Ratio of number of times 2 appears to number of times 1 appears tends 
               towards (1+sqrt(5))/2. Ratio of number of times 2 appears to number 
               of times 4m+2 appears tends towards ((1+sqrt(5))/2)^log2(2m+1).
%H A057227 Michael Gilleland, <a href="selfsimilar.html">Some Self-Similar Integer 
               Sequences</a>
%e A057227 a(23)=2 since if 23 is in S(23) then so are 12, 3 and 2; however 1 need 
               not be and so the smallest member of S(23) is 2.
%Y A057227 All values of a(n) are 1 or of form 4m+2, i.e. A016825. a(n)=1 iff n 
               is in A048297.
%Y A057227 Sequence in context: A125678 A091562 A106585 this_sequence A162663 A005007 
               A014243
%Y A057227 Adjacent sequences: A057224 A057225 A057226 this_sequence A057228 A057229 
               A057230
%K A057227 nonn
%O A057227 1,2
%A A057227 Henry Bottomley (se16(AT)btinternet.com), Nov 23 2000

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