A266899 Total number of ON (black) cells after n iterations of the "Rule 75" elementary cellular automaton starting with a single ON (black) cell.

1, 2, 5, 9, 14, 19, 24, 33, 40, 50, 58, 72, 82, 99, 109, 127, 140, 159, 173, 197, 214, 241, 256, 284, 303, 336, 350, 389, 411, 446, 470, 506, 532, 572, 596, 646, 673, 715, 747, 795, 825, 882, 911, 967, 1003, 1061, 1099, 1157, 1191, 1261, 1293, 1361, 1406

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 *) Table[Total[Take[nbc, k]], {k, 1, rows}] (* Number of Black cells through stage n *)

Crossrefs

Cf. A266892.

Sequence in context: A161767 A235333 A060139 * A112265 A025281 A160663

Adjacent sequences: A266896 A266897 A266898 * A266900 A266901 A266902

Keyword

nonn,easy

Author

Robert Price, Jan 05 2016

Status

approved