A269566 Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 622", based on the 5-celled von Neumann neighborhood.

1, 5, 21, 69, 309, 1077, 4661, 19173, 74917, 310285, 1234813, 4909789, 19434725, 76878941, 304281693, 1205650205

Offset

0,2

Comments

Initialized with a single black (ON) cell at stage zero.

References

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 170.

Links

Table of n, a(n) for n=0..15.

N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168, 2015

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

S. Wolfram, A New Kind of Science

Index entries for sequences related to cellular automata

Index to 2D 5-Neighbor Cellular Automata

Mathematica

rule=622; stages=300; ca=CellularAutomaton[ {rule, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, stages]; (* Start with single black cell *) on=Map[Function[Apply[Plus, Flatten[#1]]], ca]; (* Count ON cells at each stage *) Part[on, 2^Range[0, Log[2, stages]]]

Crossrefs

Cf. A269522.

Sequence in context: A203287 A296720 A099899 * A271492 A202462 A354701

Adjacent sequences: A269563 A269564 A269565 * A269567 A269568 A269569

Keyword

nonn,more

Author

Robert Price, Feb 29 2016

Extensions

a(9)-a(15) from Lars Blomberg, Jul 16 2016

Status

approved