A208148 Number of n state 1 dimensional radius-1 totalistic cellular automata.

1, 16, 2187, 1048576, 1220703125, 2821109907456, 11398895185373143, 73786976294838206464, 717897987691852588770249, 10000000000000000000000000000, 191943424957750480504146841291811, 4922235242952026704037113243122008064

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