A266383 Total number of ON (black) cells after n iterations of the "Rule 22" elementary cellular automaton starting with a single ON (black) cell.

1, 4, 6, 12, 14, 20, 24, 36, 38, 44, 48, 60, 64, 76, 84, 108, 110, 116, 120, 132, 136, 148, 156, 180, 184, 196, 204, 228, 236, 260, 276, 324, 326, 332, 336, 348, 352, 364, 372, 396, 400, 412, 420, 444, 452, 476, 492, 540, 544, 556, 564, 588, 596, 620, 636

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

Index entries for sequences related to cellular automata

Index to Elementary Cellular Automata

Mathematica

rule=22; rows=60; 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. A071029.

Sequence in context: A136415 A310596 A247456 * A217948 A059891 A020213

Adjacent sequences: A266380 A266381 A266382 * A266384 A266385 A266386

Keyword

nonn,easy

Author

Robert Price, Dec 28 2015

Status

approved