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a(n) is the period of the n-th diagonal, from the right, of Rule 30 (begun from an initial black cell).
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%I #13 Aug 14 2023 14:35:03

%S 1,2,2,4,8,8,16,32,32,64,64,64,64,64,64,128,256,256,256,256,256,256,

%T 256,256,512,1024,1024,2048,2048,4096,4096,4096,4096,4096,8192,8192,

%U 16384,32768,32768,65536,65536,131072,131072,262144,262144,262144,262144

%N a(n) is the period of the n-th diagonal, from the right, of Rule 30 (begun from an initial black cell).

%C One 64 term is missing in Wolfram 2002 (p. 871). (There are six.)

%D Wolfram, Stephen. A New Kind of Science. Wolfram Media, 2002, p. 871.

%H Eric Rowland, <a href="http://www.complex-systems.com/abstracts/v16_i03_a04.html">Local nested structure in rule 30</a>, Complex Systems 16 (2006) 239-258.

%H Stephen Wolfram, <a href="http://www.wolframscience.com/nksonline/page-871">[Page 871] A New Kind of Science | Online</a>.

%Y Cf. A094604, A094606, A364773.

%K nonn

%O 1,2

%A _Eric Rowland_, May 13 2004