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A267519 Total number of OFF (white) cells after n iterations of the "Rule 137" elementary cellular automaton starting with a single ON (black) cell. 1
0, 3, 6, 11, 14, 19, 25, 33, 38, 44, 52, 60, 68, 79, 90, 103, 112, 123, 134, 147, 161, 177, 191, 205, 218, 231, 248, 270, 290, 306, 323, 347, 366, 380, 399, 424, 442, 462, 487, 511, 530, 554, 585, 612, 638, 662, 684, 716, 747, 775, 799, 828, 862, 892, 923 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55.

LINKS

Robert Price, Table of n, a(n) for n = 0..1000

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 Elementary Cellular Automata

MATHEMATICA

rule=137; rows=20; ca=CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}]; (* Start with single black cell *) catri=Table[Take[ca[[k]], {rows-k+1, rows+k-1}], {k, 1, rows}]; (* Truncated list of each row *) nbc=Table[Total[catri[[k]]], {k, 1, rows}]; (* Number of Black cells in stage n *) nwc=Table[Length[catri[[k]]]-nbc[[k]], {k, 1, rows}]; (* Number of White cells in stage n *) Table[Total[Take[nwc, k]], {k, 1, rows}] (* Number of White cells through stage n *)

CROSSREFS

Cf. A267463.

Sequence in context: A189380 A047398 A047924 * A200182 A282277 A122599

Adjacent sequences:  A267516 A267517 A267518 * A267520 A267521 A267522

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 16 2016

STATUS

approved

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Last modified April 18 17:20 EDT 2019. Contains 322229 sequences. (Running on oeis4.)