A266898 Number of ON (black) cells in the n-th iteration of the "Rule 75" elementary cellular automaton starting with a single ON (black) cell.

1, 1, 3, 4, 5, 5, 5, 9, 7, 10, 8, 14, 10, 17, 10, 18, 13, 19, 14, 24, 17, 27, 15, 28, 19, 33, 14, 39, 22, 35, 24, 36, 26, 40, 24, 50, 27, 42, 32, 48, 30, 57, 29, 56, 36, 58, 38, 58, 34, 70, 32, 68, 45, 63, 41, 73, 43, 74, 46, 82, 43, 85, 49, 79, 46, 90, 43

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=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 *) Table[Total[catri[[k]]], {k, 1, rows}] (* Number of Black cells in stage n *)

Crossrefs

Cf. A266892.

Sequence in context: A239669 A185220 A120677 * A370302 A098200 A092405

Adjacent sequences: A266895 A266896 A266897 * A266899 A266900 A266901

Keyword

nonn,easy

Author

Robert Price, Jan 05 2016

Status

approved