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A267583 Total number of ON (black) cells after n iterations of the "Rule 167" elementary cellular automaton starting with a single ON (black) cell. 1
1, 3, 6, 11, 16, 25, 34, 45, 54, 71, 88, 107, 124, 147, 168, 191, 208, 241, 274, 309, 342, 381, 418, 457, 490, 537, 582, 629, 670, 721, 766, 813, 846, 911, 976, 1043, 1108, 1179, 1248, 1319, 1384, 1463, 1540, 1619, 1692, 1775, 1852, 1931, 1996, 2091, 2184 (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=167; 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. A267576.

Sequence in context: A278100 A087099 A075703 * A277023 A034029 A310115

Adjacent sequences:  A267580 A267581 A267582 * A267584 A267585 A267586

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 17 2016

STATUS

approved

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Last modified May 31 02:51 EDT 2020. Contains 334747 sequences. (Running on oeis4.)