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

1,5

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. 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.

Sequence in context: A348337 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