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A255469
A255468(2^n-1).
1
1, 6, 20, 84, 296, 1124, 4056, 15100, 55288, 204740, 753336, 2782588, 10252952, 37831684, 139470616, 514443580, 1896954168, 6996160196, 25799583352, 95147186940, 350881763288, 1294007162500, 4772059430872, 17598637988284, 64900766401656, 239343741625668, 882659972822840, 3255107458681212, 12004301666699032
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+x-9*x^2+15*x^3+2*x^4-34*x^5+20*x^6-16*x^7-8*x^8)/(1-5*x+x^2+25*x^3-44*x^4+2*x^5+56*x^6-40*x^7+24*x^8+16*x^9).
CROSSREFS
Cf. A255468.
Sequence in context: A330245 A118265 A204271 * A226638 A274071 A246036
KEYWORD
nonn
AUTHOR
STATUS
approved