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

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A267271 Decimal representation of the n-th iteration of the "Rule 115" elementary cellular automaton starting with a single ON (black) cell. 1
1, 5, 12, 111, 96, 1919, 768, 31743, 6144, 516095, 49152, 8323071, 393216, 133693439, 3145728, 2143289343, 25165824, 34326183935, 201326592, 549487378431, 1610612736, 8793945538559, 12884901888, 140720308486143, 103079215104, 2251662374731775, 824633720832 (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

Conjectures from Colin Barker, Jan 14 2016 and Apr 19 2019: (Start)

a(n) = 25*a(n-2)-152*a(n-4)+128*a(n-6) for n>6.

G.f.: (1+5*x-13*x^2-14*x^3-52*x^4-96*x^5+64*x^6) / ((1-x)*(1+x)*(1-4*x)*(1+4*x)*(1-8*x^2)).

(End)

MATHEMATICA

rule=115; 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. A267269.

Sequence in context: A304001 A009731 A009427 * A009754 A096314 A323565

Adjacent sequences:  A267268 A267269 A267270 * A267272 A267273 A267274

KEYWORD

nonn

AUTHOR

Robert Price, Jan 12 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 19 09:35 EST 2020. Contains 331048 sequences. (Running on oeis4.)