A267445 Number of ON (black) cells in the n-th iteration of the "Rule 129" elementary cellular automaton starting with a single ON (black) cell.

1, 0, 1, 0, 5, 3, 5, 0, 13, 11, 13, 7, 17, 11, 13, 0, 29, 27, 29, 23, 33, 27, 29, 15, 41, 35, 37, 23, 41, 27, 29, 0, 61, 59, 61, 55, 65, 59, 61, 47, 73, 67, 69, 55, 73, 59, 61, 31, 89, 83, 85, 71, 89, 75, 77, 47, 97, 83, 85, 55, 89, 59, 61, 0, 125, 123, 125

Offset

0,5

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

Formula

Conjecture: a(n) = A071050(n), n>0. - R. J. Mathar, Jan 17 2016

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

Crossrefs

Cf. A267417.

Sequence in context: A275836 A019172 A133658 * A071050 A271780 A176036

Adjacent sequences: A267442 A267443 A267444 * A267446 A267447 A267448

Keyword

nonn,easy

Author

Robert Price, Jan 15 2016

Status

approved