A367054 Number of iterations until a repeating cycle begins in rule 161 cellular automaton in a cyclic universe of circumference n starting with one cell on.

0, 0, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 8, 8, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 16, 16, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 8, 8, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 32, 32, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2, 0, 0, 8, 8, 0, 0, 2, 2, 0, 0, 4, 4, 0, 0, 2, 2

Offset

1,3

Links

Table of n, a(n) for n=1..91.

Example

For n = 2 we have: 10 -> 01 -> 10; since the cycle started from the 0th iteration, a(2) = 0.
For n = 3 we have: 100 -> 000 -> 111 -> 111; since the cycle started from the 2nd iteration, a(3) = 2.

Crossrefs

Cf. A334506, A000029.

Sequence in context: A226288 A185146 A080964 * A134014 A004531 A072071

Adjacent sequences: A367051 A367052 A367053 * A367055 A367056 A367057

Keyword

nonn

Author

Angelo Rosso, Nov 03 2023

Status

approved