The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A267923 Binary representation of the n-th iteration of the "Rule 245" elementary cellular automaton starting with a single ON (black) cell. 2
1, 11, 11011, 1111011, 111111011, 11111111011, 1111111111011, 111111111111011, 11111111111111011, 1111111111111111011, 111111111111111111011, 11111111111111111111011, 1111111111111111111111011, 111111111111111111111111011, 11111111111111111111111111011 (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
Eric Weisstein's World of Mathematics, Elementary Cellular Automaton
FORMULA
Conjectures from Colin Barker, Jan 23 2016 and Apr 20 2019: (Start)
a(n) = 101*a(n-1)-100*a(n-2) for n>2.
G.f.: (1-90*x+10000*x^2) / ((1-x)*(1-100*x)).
(End)
MATHEMATICA
rule=245; 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. A267922.
Sequence in context: A118557 A267273 A138713 * A068223 A068224 A066945
KEYWORD
nonn,easy
AUTHOR
Robert Price, Jan 22 2016
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 23 16:36 EDT 2024. Contains 372765 sequences. (Running on oeis4.)