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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A266671 Decimal representation of the n-th iteration of the "Rule 53" elementary cellular automaton starting with a single ON (black) cell. 1
1, 3, 8, 95, 64, 1791, 512, 30719, 4096, 507903, 32768, 8257535, 262144, 133169151, 2097152, 2139095039, 16777216, 34292629503, 134217728, 549218942975, 1073741824, 8791798054911, 8589934592, 140703128616959, 68719476736, 2251524935778303, 549755813888 (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 03 2016 and Apr 18 2019: (Start)

a(n) = 25*a(n-2)-152*a(n-4)+128*a(n-6) for n>5.

G.f.: (1+3*x-17*x^2+20*x^3+16*x^4-128*x^5) / ((1-x)*(1+x)*(1-4*x)*(1+4*x)*(1-8*x^2)).

(End)

MATHEMATICA

rule=53; 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. A266669.

Sequence in context: A070901 A079657 A136309 * A069703 A114737 A233163

Adjacent sequences:  A266668 A266669 A266670 * A266672 A266673 A266674

KEYWORD

nonn

AUTHOR

Robert Price, Jan 02 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 April 4 08:58 EDT 2020. Contains 333213 sequences. (Running on oeis4.)