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A255445 Number of ON cells after n generations of the odd-rule cellular automaton defined by OddRule 037 when started with a single ON cell. 0
1, 5, 5, 19, 5, 25, 19, 71, 5, 25, 25, 95, 19, 95, 71, 265, 5, 25, 25, 95, 25, 125, 95, 355, 19, 95, 95, 361, 71, 355, 265, 989, 5, 25, 25, 95, 25, 125, 95, 355, 25, 125, 125, 475, 95, 475, 355, 1325, 19, 95, 95, 361, 95, 475, 361, 1349, 71, 355, 355, 1349 (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 [math.CO], 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

MATHEMATICA

(* b = a1834 *) b[0] = 1; b[1] = 5; b[n_] := b[n] = 4 b[n-1] - b[n-2];

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

CROSSREFS

Run length transform of A001834.

Sequence in context: A303310 A028892 A255448 * A255454 A255443 A205108

Adjacent sequences:  A255442 A255443 A255444 * A255446 A255447 A255448

KEYWORD

nonn

AUTHOR

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

STATUS

approved

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Last modified March 23 18:13 EDT 2019. Contains 321433 sequences. (Running on oeis4.)