A269695 - OEIS

A269695

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 6", based on the 5-celled von Neumann neighborhood.

1, 5, 4, 20, 4, 20, 16, 80, 4, 20, 16, 80, 16, 80, 64, 320, 4, 20, 16, 80, 16, 80, 64, 320, 16, 80, 64, 320, 64, 320, 256, 1280, 4, 20, 16, 80, 16, 80, 64, 320, 16, 80, 64, 320, 64, 320, 256, 1280, 16, 80, 64, 320, 64, 320, 256, 1280, 64, 320, 256, 1280, 256

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OFFSET

0,2

COMMENTS

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

Rules 38, 70, 102, 134, 166, 198 and 230 also generate this sequence.

REFERENCES

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

LINKS

Robert Price, Table of n, a(n) for n = 0..300

Robert Price, Diagrams of first 20 stages

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