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, 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

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: A181947 A366969 A075703 * A364198 A277023 A034029

Adjacent sequences: A267580 A267581 A267582 * A267584 A267585 A267586

Keyword

nonn,easy

Author

Robert Price, Jan 17 2016

Status

approved