A267448 Total number of OFF (white) cells after n iterations of the "Rule 129" elementary cellular automaton starting with a single ON (black) cell.

0, 3, 7, 14, 18, 26, 34, 49, 53, 61, 69, 85, 93, 109, 125, 156, 160, 168, 176, 192, 200, 216, 232, 264, 272, 288, 304, 336, 352, 384, 416, 479, 483, 491, 499, 515, 523, 539, 555, 587, 595, 611, 627, 659, 675, 707, 739, 803, 811, 827, 843, 875, 891, 923, 955

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=129; 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. A267417.

Sequence in context: A310267 A310268 A190700 * A001843 A310269 A033808

Adjacent sequences: A267445 A267446 A267447 * A267449 A267450 A267451

Keyword

nonn,easy

Author

Robert Price, Jan 15 2016

Status

approved