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A253105
A253104(2^n-1).
1
1, 8, 32, 140, 580, 2300, 9212, 36708, 145684, 579132, 2300748, 9136868, 36293220, 144150716, 572523772, 2273961796, 9031663444, 35871633244, 142474173772, 565874928900, 2247525801188, 8926662348828, 35454669141436, 140817868278436
OFFSET
0,2
LINKS
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, 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, 2015
FORMULA
G.f.: -(-1-4*t-6*t^3-t^4-8*t^5+4*t^6)/(1-4*t-6*t^3+29*t^4-12*t^5-8*t^6+8*t^7).
CROSSREFS
Cf. A253104.
Sequence in context: A307004 A264280 A264390 * A290915 A334693 A336492
KEYWORD
nonn
AUTHOR
STATUS
approved