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A267207 Decimal representation of the n-th iteration of the "Rule 109" elementary cellular automaton starting with a single ON (black) cell. 1
1, 2, 31, 34, 471, 762, 7967, 8866, 120791, 194810, 2037023, 2277026, 30918615, 49850618, 521532703, 582893218, 7914997719, 12762196218, 133512164639, 149219327650, 2026242918359, 3267120572666, 34179103454495, 38200175902370, 518718173824983 (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

FORMULA

Empirical g.f.: (1 +4*x +39*x^2 +104*x^3 +406*x^4 +812*x^5 +1352*x^6 +1120*x^7 +256*x^8 -3584*x^10) / ((1 -x)*(1 +x)*(1 -4*x)*(1 +4*x)*(1 +x^2)*(1 +2*x +4*x^2)*(1 +16*x^2)). - Colin Barker, Jan 13 2016 and Apr 19 2019

MATHEMATICA

rule=109; 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. A243566.

Sequence in context: A053234 A020896 A042153 * A102630 A264783 A215031

Adjacent sequences:  A267204 A267205 A267206 * A267208 A267209 A267210

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 11 2016

STATUS

approved

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Last modified August 12 12:15 EDT 2020. Contains 336439 sequences. (Running on oeis4.)