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A269522 Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 622", based on the 5-celled von Neumann neighborhood. 4
1, 5, 9, 21, 25, 37, 57, 69, 89, 101, 121, 133, 169, 205, 257, 309, 361, 333, 377, 381, 385, 461, 465, 509, 601, 653, 697, 781, 889, 845, 1097, 1077, 1353, 1205, 1305, 1349, 1345, 1357, 1321, 1437, 1553, 1589, 1601, 1709, 1729, 1813, 1937, 2069, 2361, 2181 (list; graph; refs; listen; history; text; internal format)
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

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, 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

Index to Elementary 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 *) Map[Function[Apply[Plus, Flatten[#1]]], ca] (* Count ON cells at each stage *)

CROSSREFS

Cf. A007483, A072272, A170878, A253908.

Sequence in context: A147562 A162795 A255366 * A169707 A256260 A256250

Adjacent sequences:  A269519 A269520 A269521 * A269523 A269524 A269525

KEYWORD

nonn,easy

AUTHOR

Robert Price, Feb 28 2016

STATUS

approved

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Last modified October 20 15:22 EDT 2018. Contains 316388 sequences. (Running on oeis4.)