A267247 Decimal representation of the n-th iteration of the "Rule 165" elementary cellular automaton starting with a single ON (black) cell.

1, 2, 14, 42, 254, 762, 3822, 10922, 65534, 196602, 983022, 2817962, 16711422, 50002682, 250539758, 715827882, 4294967294, 12884901882, 64424509422, 184683593642, 1095216660222, 3277060045562, 16419659968238, 46913927752362, 281470681677822, 844403454967802

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=165; 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[FromDigits[catri[[k]], 2], {k, 1, rows}]   (* Decimal Representation of Rows *)

Crossrefs

Cf. A266754.

Sequence in context: A152670 A109137 A192375 * A297425 A108478 A262963

Adjacent sequences: A267244 A267245 A267246 * A267248 A267249 A267250

Keyword

nonn,easy

Author

Robert Price, Jan 17 2016

Status

approved