The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A266254 Binary representation of the n-th iteration of the "Rule 11" elementary cellular automaton starting with a single ON (black) cell. 3
 1, 100, 11, 1111100, 11, 11111111100, 11, 111111111111100, 11, 1111111111111111100, 11, 11111111111111111111100, 11, 111111111111111111111111100, 11, 1111111111111111111111111111100, 11, 11111111111111111111111111111111100, 11 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Rule 43 also generates this sequence. 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 S. Wolfram, A New Kind of Science FORMULA Conjectures from Colin Barker, Dec 26 2015 and Apr 14 2019: (Start) a(n) = (199*(-1)^n+10^(2*n+1)-(-1)^n*10^(2*n+1)-1)/18 for n>0. a(n) = 10001*a(n-2) - 10000*a(n-4) for n>4. G.f.: (1+100*x-9990*x^2+111000*x^3-100000*x^4) / ((1-x)*(1+x)*(1-100*x)*(1+100*x)). (End) MATHEMATICA rule=11; 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]]], {k, 1, rows}]   (* Binary Representation of Rows *) CROSSREFS Cf. A266253. Sequence in context: A287715 A286639 A288358 * A298574 A077489 A153674 Adjacent sequences:  A266251 A266252 A266253 * A266255 A266256 A266257 KEYWORD nonn,easy AUTHOR Robert Price, Dec 25 2015 EXTENSIONS Conjectures from Colin Barker, Apr 14 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 27 13:00 EDT 2020. Contains 334657 sequences. (Running on oeis4.)