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 A357950 Maximum period of an elementary cellular automaton in a cyclic universe of width n. 2
 2, 2, 6, 8, 30, 18, 126, 40, 504, 430, 979, 240, 1105, 2198, 6820, 6016, 78812, 7812, 183920, 142580, 352884, 122870, 3459591, 421188, 10828525, 334308, 81688176, 989212, 463347935, 5921860, 1211061438, 26636800, 3315517623, 187950912, 24752893585 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..35. Eric Weisstein's World of Mathematics, Elementary Cellular Automaton. Wikipedia, Elementary cellular automaton. Index entries for sequences related to cellular automata FORMULA a(n) >= A334499(n). Equality holds (i.e., the maximum period can be achieved with a single cell initially on) for all n <= 35, except n = 12, 13, 23, 24, 25, 26, 28, 34. Trivially a(n) <= 2^n. - Charles R Greathouse IV, Nov 09 2022 EXAMPLE Examples of rules and initial states that give the maximum period: n a(n) rule initial state -------------------------------- 1 2 1 0 2 2 1 00 3 6 14 001 4 8 3 0001 5 30 45 00001 6 18 45 000001 7 126 45 0000001 8 40 30 00000001 9 504 45 000000001 10 430 45 0000000001 11 979 45 00000000001 12 240 45 000000100001 13 1105 45 0000000001011 14 2198 45 00000000000001 15 6820 75 000000000000001 16 6016 30 0000000000000001 17 78812 45 00000000000000001 18 7812 75 000000000000000001 CROSSREFS Cf. A334499. Sequence in context: A079494 A169970 A334499 * A201499 A346201 A131553 Adjacent sequences: A357947 A357948 A357949 * A357951 A357952 A357953 KEYWORD nonn AUTHOR Pontus von Brömssen, Oct 22 2022 EXTENSIONS a(19)-a(35) from Bert Dobbelaere, Oct 30 2022 Corrected a(23), a(25), a(26) and a(34) by Bert Dobbelaere, Nov 11 2022 STATUS approved

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Last modified May 17 23:39 EDT 2024. Contains 372608 sequences. (Running on oeis4.)