A267149 Total number of ON (black) cells after n iterations of the "Rule 105" elementary cellular automaton starting with a single ON (black) cell.

1, 1, 4, 6, 9, 11, 16, 20, 23, 33, 42, 50, 55, 67, 78, 88, 91, 117, 126, 150, 159, 175, 190, 204, 209, 245, 260, 290, 301, 327, 348, 368, 371, 429, 438, 494, 503, 551, 566, 612, 621, 677, 704, 746, 761, 807, 840, 872, 877, 961, 976, 1054, 1069, 1131, 1156

Offset

0,3

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=105; 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. A267145.

Sequence in context: A332587 A003259 A020935 * A198696 A219612 A258743

Adjacent sequences: A267146 A267147 A267148 * A267150 A267151 A267152

Keyword

nonn,easy

Author

Robert Price, Jan 11 2016

Status

approved