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A269523 Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 630", based on the 5-celled von Neumann neighborhood. 3
1, 5, 9, 21, 29, 45, 65, 89, 125, 133, 161, 181, 213, 261, 277, 333, 345, 493, 521, 573, 577, 653, 673, 785, 809, 905, 1009, 1033, 997, 1201, 1193, 1357, 1389, 1741, 1561, 1865, 1813, 2013, 1989, 2221, 2157, 2357, 2393, 2581, 2549, 2833, 3005, 2981, 3241 (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

Table of n, a(n) for n=0..48.

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=630; 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

Sequence in context: A169649 A273739 A169709 * A319384 A211427 A273410

Adjacent sequences:  A269520 A269521 A269522 * A269524 A269525 A269526

KEYWORD

nonn,easy

AUTHOR

Robert Price, Feb 28 2016

STATUS

approved

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Last modified November 22 06:15 EST 2019. Contains 329389 sequences. (Running on oeis4.)