A085587 Eventual period of a single cell in rule 90 cellular automaton in a cyclic universe of width n.

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

Offset: 1

Author

N. J. A. Sloane, Jul 03 2003

Keywords

• nonn

Links

• O. Martin, A. M. Odlyzko, S. Wolfram, Algebraic properties of cellular automata, 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.
• S. Wolfram, Statistical mechanics of cellular automata, Rev. Mod. Phys., 55 (1983), 601-644. (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, A334499-A334515.

Extensions

More terms from Sean A. Irvine, Jun 10 2018

Definition edited by N. J. A. Sloane, May 05 2020