%I A154475
%S A154475 5,7,7,8,8,14,19,24,28,31,36,42,45,47,49,50,50,50,51,51,51,54,55,55,
%T A154475 55,56,56,56,58,60,61,61,61,62,62,62,65,66,66,66,67,67,67,70,72,74,75,
%U A154475 75,75,76,76,76,79,80,80,80,81,81,81,83,85,86,86,86,87,87,87,92,93,93
%N A154475 Number of opening (equally: closing) brackets in each term of Wolfram's 
               Symbolic Rewriting system A154473-A154474.
%C A154475 2*a(n) gives the number of bits in A154474(n).
%H A154475 A. Karttunen, <a href="b154475.txt">Table of n, a(n) for n = 0..100</
               a>
%H A154475 S. Wolfram, <a href="http://www.wolframscience.com/nksonline/page-102">
               A New Kind of Science, Wolfram Media Inc., (2002), p. 102</a>, <a 
               href="http://www.wolframscience.com/nksonline/page-103">p. 103</a> 
               and pages 104, 896-898.
%F A154475 a(n) = A072643(A154472(n)).
%e A154475 The iteration starts from the initial term e[e[e][e]][e][e], which contains 
               5 ['s (and also 5 ]'s), thus a(0)=5.
%Y A154475 a(n) = A029837(1+A154473(n))/2. a(n) = A154476(n)-1.
%Y A154475 Sequence in context: A114916 A001989 A086056 this_sequence A137755 A053672 
               A087525
%Y A154475 Adjacent sequences: A154472 A154473 A154474 this_sequence A154476 A154477 
               A154478
%K A154475 nonn
%O A154475 0,1
%A A154475 Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jan 11 2009