Search: id:A063787
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%I A063787
%S A063787 1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,2,3,3,
%T A063787 4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,
%U A063787 4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,4
%N A063787 a(2^k) = k + 1 and a(2^k + i) = 1 + a(i) for k >= 0 and 0 < i < 2^k.
%C A063787 Equals log(A131136)/log(2) - Stephen Crowley (crow(AT)crowlogic.net), 
               Aug 25 2008
%C A063787 a(n) = A007814(n) + A000120(n) [From Gary W. Adamson (qntmpkt(AT)yahoo.com), 
               Jun 04 2009]
%H A063787 Michael Gilleland, <a href="selfsimilar.html">Some Self-Similar Integer 
               Sequences</a>
%e A063787 k = 3: a(2^3) = a(8) = 4 = 3 + 1; k = 3, i = 5: a(2^3 + 5) = a(13) = 
               3 = 1 + 2 = 1 + a(5).
%e A063787 Contribution from Omar E. Pol (info(AT)polprimos.com), Jun 12 2009: (Start)
%e A063787 Triangle begins:
%e A063787 1;
%e A063787 2,2;
%e A063787 3,2,3,3;
%e A063787 4,2,3,3,4,3,4,4;
%e A063787 5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5;
%e A063787 6,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6;
%e A063787 7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,3,4,
               4,5,...
%e A063787 (End)
%Y A063787 Equals A000120(n-1)+1.
%Y A063787 Cf. A131136.
%Y A063787 A007814 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 04 2009]
%Y A063787 Cf. A000079. [From Omar E. Pol (info(AT)polprimos.com), Jun 12 2009]
%Y A063787 Sequence in context: A057941 A126071 A105264 this_sequence A129843 A050430 
               A071330
%Y A063787 Adjacent sequences: A063784 A063785 A063786 this_sequence A063788 A063789 
               A063790
%K A063787 nonn
%O A063787 1,2
%A A063787 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 16 2001

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