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A267368

Total number of ON (black) cells after n iterations of the "Rule 126" elementary cellular automaton starting with a single ON (black) cell.

1, 4, 8, 15, 19, 27, 35, 50, 54, 62, 70, 86, 94, 110, 126, 157, 161, 169, 177, 193, 201, 217, 233, 265, 273, 289, 305, 337, 353, 385, 417, 480, 484, 492, 500, 516, 524, 540, 556, 588, 596, 612, 628, 660, 676, 708, 740, 804, 812, 828, 844, 876, 892, 924, 956

(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=126; 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 *) Table[Total[Take[nbc, k]], {k, 1, rows}] (* Number of Black cells through stage n *)

CROSSREFS

Cf. A071035.

Sequence in context: A312741 A312742 A312743 * A345096 A190692 A309322

Adjacent sequences: A267365 A267366 A267367 * A267369 A267370 A267371

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 13 2016

STATUS

approved