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A269543 Partial Sums of the 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. 0
1, 6, 15, 36, 65, 110, 175, 264, 389, 522, 683, 864, 1077, 1338, 1615, 1948, 2293, 2786, 3307, 3880, 4457, 5110, 5783, 6568, 7377, 8282, 9291, 10324, 11321, 12522, 13715, 15072, 16461, 18202, 19763, 21628, 23441, 25454, 27443, 29664, 31821, 34178, 36571 (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..42.

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 *) on=Map[Function[Apply[Plus, Flatten[#1]]], ca]; (* Count ON cells at each stage *) Table[Total[Part[on, Range[1, i]]], {i, 1, Length[on]}]

CROSSREFS

Cf. A269523.

Sequence in context: A273741 A273861 A074132 * A074149 A273411 A273490

Adjacent sequences:  A269540 A269541 A269542 * A269544 A269545 A269546

KEYWORD

nonn,easy

AUTHOR

Robert Price, Mar 01 2016

STATUS

approved

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Last modified September 20 12:42 EDT 2018. Contains 315239 sequences. (Running on oeis4.)