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A255297 Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 035 when started with a single ON cell. 0
1, 4, 4, 14, 4, 16, 14, 46, 4, 16, 16, 56, 14, 56, 46, 146, 4, 16, 16, 56, 16, 64, 56, 184, 14, 56, 56, 196, 46, 184, 146, 454, 4, 16, 16, 56, 16, 64, 56, 184, 16, 64, 64, 224, 56, 224, 184, 584, 14, 56, 56, 196, 56, 224, 196, 644, 46, 184, 184, 644 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..59.

Shalosh B. Ekhad, N. J. A. Sloane, and  Doron Zeilberger, A Meta-Algorithm for Creating Fast Algorithms for Counting ON Cells in Odd-Rule Cellular Automata, arXiv:1503.01796 [math.CO], 2015; see also the Accompanying Maple Package.

Shalosh B. Ekhad, N. J. A. Sloane, and  Doron Zeilberger, Odd-Rule Cellular Automata on the Square Grid, arXiv:1503.04249, 2015.

N. J. A. Sloane, On the No. of ON Cells in Cellular Automata, Video of talk in Doron Zeilberger's Experimental Math Seminar at Rutgers University, Feb. 05 2015: Part 1, Part 2

N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168 [math.CO], 2015.

Index entries for sequences related to cellular automata

FORMULA

Run length transform of A027649.

MATHEMATICA

a27649[n_] := 2(3^n) - 2^n;

Table[Times @@ (a27649[Length[#]]&) /@ Select[Split[IntegerDigits[n, 2]], #[[1]] == 1&], {n, 0, 59}] (* Jean-François Alcover, Sep 15 2018 *)

CROSSREFS

Cf. A027649.

Sequence in context: A059443 A241250 A097335 * A339319 A347428 A263870

Adjacent sequences:  A255294 A255295 A255296 * A255298 A255299 A255300

KEYWORD

nonn

AUTHOR

N. J. A. Sloane and Doron Zeilberger, Feb 23 2015

STATUS

approved

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Last modified December 4 19:40 EST 2021. Contains 349526 sequences. (Running on oeis4.)