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 A266245 Decimal representation of the n-th iteration of the "Rule 9" elementary cellular automaton starting with a single ON (black) cell. 1
 1, 0, 5, 96, 29, 1952, 29, 32672, 29, 524192, 29, 8388512, 29, 134217632, 29, 2147483552, 29, 34359738272, 29, 549755813792, 29, 8796093022112, 29, 140737488355232, 29, 2251799813685152, 29, 36028797018963872, 29, 576460752303423392, 29, 9223372036854775712 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES S. Wolfram, A New Kind of Science, Wolfram Media, 2002; p. 55. LINKS Robert Price, Table of n, a(n) for n = 0..999 Eric Weisstein's World of Mathematics, Elementary Cellular Automaton FORMULA Conjectures from Colin Barker, Dec 28 2015 and Apr 14 2019: (Start) a(n) = 17*a(n-2)-16*a(n-4) for n>7. G.f.: (1-12*x^2+96*x^3-40*x^4+320*x^5-384*x^6+1024*x^7) / ((1-x)*(1+x)*(1-4*x)*(1+4*x)). (End) MATHEMATICA rule=9; 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. A266243. Sequence in context: A218463 A192343 A152839 * A194616 A285367 A208253 Adjacent sequences:  A266242 A266243 A266244 * A266246 A266247 A266248 KEYWORD nonn,easy AUTHOR Robert Price, Dec 25 2015 EXTENSIONS Conjectures from Colin Barker, Apr 14 2019 STATUS approved

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Last modified June 16 12:38 EDT 2019. Contains 324152 sequences. (Running on oeis4.)