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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A246318 Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 451". 12

%I

%S 1,9,21,45,93,117,173,205,293,225,145,369,609,597,661,789,1033,845,

%T 685,1157,1185,1245,1629,1669,1601,1881,1857,1957,2485,2885,2565,2497,

%U 3541,3113,2561,3401,3393,3633,3801,4505,4189,4049,4941,5717,5197,5861,6337,6105,7085,6640,6212,7280,7408,7580

%N Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 451".

%C The number of ON cells at stage 2n+1 is infinite.

%D S. Wolfram, A New Kind of Science, Wolfram Media, 2002; pp. 173-175.

%H N. J. A. Sloane, <a href="/A246318/a246318.pdf">Illustration of first 24 generations</a>

%H <a href="/index/Ce#cell">Index entries for sequences related to cellular automata</a>

%t Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 451, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]] (* then take every other term *)

%t ArrayPlot /@ CellularAutomaton[{451, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]

%Y Cf. A169699, A246316.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Aug 27 2014

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 December 9 06:07 EST 2021. Contains 349627 sequences. (Running on oeis4.)