A208148 - OEIS

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A208148

Number of n state 1 dimensional radius-1 totalistic cellular automata.

1, 16, 2187, 1048576, 1220703125, 2821109907456, 11398895185373143, 73786976294838206464, 717897987691852588770249, 10000000000000000000000000000, 191943424957750480504146841291811, 4922235242952026704037113243122008064 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,2`
	LINKS	`Table of n, a(n) for n=1..12.` `Eric Weisstein's World of Mathematics, Totalistic Cellular Automaton` `Index entries for sequences related to cellular automata`
	FORMULA	`a(n) = n^(3*n-2) = n^A016777(n-1).`
	EXAMPLE	`For n=2, there are 16 totalistic 2-color cellular automaton rules, corresponding to elementary cellular automata numbers 0, 1, 22, 23, 104, 105, 126, 127, 128, 129, 150, 151, 232, 233, 254, and 255.`
	MAPLE	`A208148:=n->n^(3*n-2); seq(A208148(n), n=1..30); # Wesley Ivan Hurt, Nov 26 2013`
	MATHEMATICA	`Range[30]^(-2 + 3 Range[30])`
	CROSSREFS	`Cf. A137840.` `Sequence in context: A317450 A121366 A101800 * A265593 A345275 A304399` `Adjacent sequences: A208145 A208146 A208147 * A208149 A208150 A208151`
	KEYWORD	`nonn,easy`
	AUTHOR	`Ben Branman, Feb 23 2012`
	STATUS	`approved`

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Last modified January 27 01:46 EST 2023. Contains 359836 sequences. (Running on oeis4.)