

A085587


Eventual period of a single cell in rule 90 cellular automaton in a cyclic universe of width n.


15



1, 1, 1, 1, 3, 2, 7, 1, 7, 6, 31, 4, 63, 14, 15, 1, 15, 14, 511, 12, 63, 62, 2047, 8, 1023, 126, 511, 28, 16383, 30, 31, 1, 31, 30, 4095, 28, 87381, 1022, 4095, 24, 1023, 126, 127, 124, 4095, 4094, 8388607, 16, 2097151, 2046, 255, 252, 67108863, 1022, 1048575, 56, 511, 32766, 536870911, 60
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,5


LINKS

Table of n, a(n) for n=1..60.
O. Martin, A. M. Odlyzko, S. Wolfram, Algebraic properties of cellular automata, Comm. Math. Physics, 93 (1984), pp. 219258, Reprinted in Theory and Applications of Cellular Automata, S. Wolfram, Ed., World Scientific, 1986, pp. 5190 and in Cellular Automata and Complexity: Collected Papers of Stephen Wolfram, AddisonWesley, 1994, pp. 71113. See Table 1.
S. Wolfram, Statistical mechanics of cellular automata, Rev. Mod. Phys., 55 (1983), 601644. (See Section 4.) [Added by N. J. A. Sloane, Apr 20 2010]


CROSSREFS

Cf. A085588, A085589, A085590, A085591, A085592, A085593, A085595.
Cf. also A180001, A334496, A334499A334515.
Sequence in context: A163659 A010760 A085594 * A326607 A071189 A137822
Adjacent sequences: A085584 A085585 A085586 * A085588 A085589 A085590


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Jul 03 2003


EXTENSIONS

More terms from Sean A. Irvine, Jun 10 2018
Definition edited by N. J. A. Sloane, May 05 2020


STATUS

approved



