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A267247 Decimal representation of the n-th iteration of the "Rule 165" elementary cellular automaton starting with a single ON (black) cell. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 18 05:10 EDT 2021. Contains 343994 sequences. (Running on oeis4.)