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

Author

Ben Branman, Feb 23 2012

Keywords

• nonn
• easy

Examples

			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.
		

Links

• Eric Weisstein's World of Mathematics, Totalistic Cellular Automaton
• Index entries for sequences related to cellular automata

Crossrefs

Cf. A137840.

Programs

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])

Formula

a(n) = n^(3*n-2) = n^A016777(n-1).