This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A164362 #14 Jul 02 2015 04:03:03
%S A164362 1,2,3,6,11,21,42,83,166,331,661,1322,2643,5285,10569,21138,42275,
%T A164362 84550,169099,338197,676394,1352787,2705573,5411146,10822291,21644582,
%U A164362 43289163,86578325,173156650,346313299,692626597,1385253193,2770506386,5541012771,11082025542
%N A164362 The number of 0's in the n-th stage of A164349.
%C A164362 A164349 is generated as follows. Start with the string 01, and at each stage copy the previous string twice and remove the last symbol.
%C A164362 Since the number of symbols in the whole string is 2^n + 1, A164362 + A164363 = 2^n + 1.
%H A164362 Paul Tek, <a href="/A164362/b164362.txt">Table of n, a(n) for n = 1..3323</a>
%H A164362 Paul Tek, <a href="/A164362/a164362.pl.txt">PERL program for this sequence</a>
%F A164362 A recurrence is given in terms of A164364(n) = A164349(2^n).
%F A164362 a(n+1) = 2*a(n) + A164364(n) - 1.
%e A164362 01 -> 010 -> 01001 -> 010010100 -> 01001010001001010 etc.
%e A164362 So the number of 0's in the n-th stage is the sequence 1, 2, 3, 6, 11 etc.
%t A164362 t = Nest[ Most@ Flatten@ {#, #} &, {0, 1}, 25]; Table[ Count[ Take[t, 2^n + 1], 0], {n, 0, 25}] (* _Robert G. Wilson v_, Aug 17 2009 *)
%Y A164362 Cf. A164349, A164363, A164364.
%K A164362 nonn
%O A164362 1,2
%A A164362 _Jack W Grahl_, Aug 14 2009
%E A164362 a(23)-a(26) from _Robert G. Wilson v_, Aug 17 2009