A267446 Total number of ON (black) cells after n iterations of the "Rule 129" elementary cellular automaton starting with a single ON (black) cell.

1, 1, 2, 2, 7, 10, 15, 15, 28, 39, 52, 59, 76, 87, 100, 100, 129, 156, 185, 208, 241, 268, 297, 312, 353, 388, 425, 448, 489, 516, 545, 545, 606, 665, 726, 781, 846, 905, 966, 1013, 1086, 1153, 1222, 1277, 1350, 1409, 1470, 1501, 1590, 1673, 1758, 1829, 1918

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=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 *) 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. A267417.

Sequence in context: A307633 A101372 A133374 * A054226 A000024 A005223

Adjacent sequences: A267443 A267444 A267445 * A267447 A267448 A267449

Keyword

nonn,easy

Author

Robert Price, Jan 15 2016

Status

approved