A265701 Number of ON (black) cells in the n-th iteration of the "Rule 135" elementary cellular automaton starting with a single ON (black) cell.

1, 2, 2, 4, 3, 7, 4, 10, 5, 12, 9, 12, 11, 15, 10, 18, 11, 20, 18, 19, 17, 22, 22, 24, 21, 25, 26, 29, 24, 29, 27, 32, 26, 41, 30, 42, 27, 43, 33, 41, 36, 36, 44, 42, 40, 53, 38, 53, 46, 55, 48, 60, 46, 55, 49, 62, 48, 58, 57, 63, 52, 62, 55, 68, 51, 67, 77

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..999

Eric Weisstein's World of Mathematics, Elementary Cellular Automaton

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

Mathematica

rule = 135; rows = 30; Table[Total[Table[Take[CellularAutomaton[rule, {{1}, 0}, rows-1, {All, All}][[k]], {rows-k+1, rows+k-1}], {k, 1, rows}][[k]]], {k, 1, rows}]

Crossrefs

Cf. A265695.

Sequence in context: A308601 A286931 A336305 * A353747 A007439 A238622

Adjacent sequences: A265698 A265699 A265700 * A265702 A265703 A265704

Keyword

nonn,easy

Author

Robert Price, Dec 13 2015

Status

approved