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A085587 Maximal cycle lengths in a certain class of one-dimensional cellular automata. 10


%S 1,1,3,2,7,1,7,6,31,4,63,14,15,1,15,14,511,12,63,62,2047,8,1023,126,

%T 511,28,16383,30,31,1,31,30,4095,28,87381,1022,4095,24,1023,126,127,

%U 124,4095,4094,8388607,16,2097151,2046,255,252,67108863,1022,1048575,56,511,32766,536870911,60

%N Maximal cycle lengths in a certain class of one-dimensional cellular automata.

%H O. Martin, A. M. Odlyzko, S. Wolfram, <a href="http://projecteuclid.org/euclid.cmp/1103941055">Algebraic properties of cellular automata</a>, Comm. Math. Physics, 93 (1984), pp. 219-258, Reprinted in Theory and Applications of Cellular Automata, S. Wolfram, Ed., World Scientific, 1986, pp. 51-90 and in Cellular Automata and Complexity: Collected Papers of Stephen Wolfram, Addison-Wesley, 1994, pp. 71-113. See Table 1.

%H S. Wolfram, <a href="http://dx.doi.org/10.1103/RevModPhys.55.601">Statistical mechanics of cellular automata</a>, Rev. Mod. Phys., 55 (1983), 601--644. (See Section 4.) [Added by _N. J. A. Sloane_, Apr 20 2010]

%Y Cf. A085588, A085589, A085590, A085591, A085592, A085593, A085595.

%K nonn

%O 3,3

%A _N. J. A. Sloane_, Jul 03 2003

%E More terms from _Sean A. Irvine_, Jun 10 2018

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Last modified February 29 03:31 EST 2020. Contains 332353 sequences. (Running on oeis4.)