A262867 Total number of ON (black) cells after n iterations of the "Rule 153" elementary cellular automaton starting with a single ON (black) cell.

1, 2, 5, 8, 15, 22, 31, 38, 53, 68, 85, 100, 121, 140, 161, 176, 207, 238, 271, 302, 339, 374, 411, 442, 487, 530, 575, 614, 663, 706, 751, 782, 845, 908, 973, 1036, 1105, 1172, 1241, 1304, 1381, 1456, 1533, 1604, 1685, 1760, 1837, 1900, 1993, 2084, 2177

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=153; 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. A262855.

Sequence in context: A261543 A307190 A183409 * A024808 A238619 A323285

Adjacent sequences: A262864 A262865 A262866 * A262868 A262869 A262870

Keyword

nonn,easy

Author

Robert Price, Jan 17 2016

Status

approved