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A255455 A255454(2^n-1). 1
1, 5, 19, 73, 263, 973, 3531, 12965, 47251, 173009, 631631, 2310273, 8440503, 30859717, 112776995, 412263309, 1506786763, 5507802233, 20131419959, 73585107241, 268963530095, 983115443149, 3593443967243, 13134702768181, 48009561539555, 175483552150433, 641422737413919, 2344513580442321, 8569606120531879, 31323418577252629 (list; graph; refs; listen; history; text; internal format)
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-5*x^2+9*x^3-12*x^4+14*x^5-4*x^6+8*x^7)/(1-6*x+6*x^2+20*x^3-51*x^4+56*x^5-46*x^6+20*x^7-8*x^8).
CROSSREFS
Cf. A255454.
Sequence in context: A047155 A295046 A034548 * A255444 A287805 A129166
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified April 20 21:11 EDT 2024. Contains 371845 sequences. (Running on oeis4.)