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.

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

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