A266901 Total number of OFF (white) cells after n iterations of the "Rule 75" elementary cellular automaton starting with a single ON (black) cell.

0, 2, 4, 7, 11, 17, 25, 31, 41, 50, 63, 72, 87, 97, 116, 129, 149, 165, 188, 203, 227, 243, 273, 292, 322, 340, 379, 395, 430, 454, 491, 518, 557, 584, 629, 650, 696, 729, 774, 805, 856, 882, 938, 969, 1022, 1055, 1110, 1147, 1210, 1239, 1308, 1343, 1403

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=75; 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. A266892.

Sequence in context: A122051 A073471 A308825 * A117649 A028291 A067997

Adjacent sequences: A266898 A266899 A266900 * A266902 A266903 A266904

Keyword

nonn,easy

Author

Robert Price, Jan 05 2016

Status

approved