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!)
A267128 Decimal representation of the n-th iteration of the "Rule 99" elementary cellular automaton starting with a single ON (black) cell. 1
1, 4, 10, 105, 100, 1875, 840, 31527, 6800, 514639, 55584, 8311967, 447040, 133613887, 3581056, 2142671487, 28723456, 34321278207, 229937664, 549448731135, 1839801344, 8793637557247, 14723205120, 140717847029759, 117795229696, 2251642721423359, 942381015040 (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

Empirical g.f.: (1 +4*x -17*x^2 -11*x^3 -16*x^5 -248*x^6 +128*x^7 +1472*x^8 -2048*x^10) / ((1 -x)*(1 +x)*(1 -2*x)*(1 -4*x)*(1 +4*x)*(1 -2*x^2)*(1 +2*x +4*x^2)*(1 -8*x^2)). - Colin Barker, Jan 11 2016 and Apr 19 2019

MATHEMATICA

rule=99; 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. A267126.

Sequence in context: A298953 A197851 A197865 * A098449 A118378 A203224

Adjacent sequences:  A267125 A267126 A267127 * A267129 A267130 A267131

KEYWORD

nonn,easy

AUTHOR

Robert Price, Jan 10 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 July 12 20:45 EDT 2020. Contains 335669 sequences. (Running on oeis4.)