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A255444
A255443(2^n-1).
1
1, 5, 19, 73, 271, 993, 3643, 13309, 48655, 177805, 649699, 2374129, 8674999, 31698625, 115826659, 423229469, 1546477863, 5650815053, 20648028987, 75447710625, 275685244735, 1007351382097, 3680852748715, 13449802390397, 49145455249183, 179577045144493, 656172884958899, 2397649735785777
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)*(1+2*x+7*x^4+4*x^5+2*x^6)/(1-4*x-x^2+8*x^3+7*x^4-26*x^5+11*x^6+14*x^7+2*x^8-4*x^9).
CROSSREFS
Cf. A255443.
Sequence in context: A295046 A034548 A255455 * A287805 A129166 A149763
KEYWORD
nonn
AUTHOR
STATUS
approved