A255451 A255450(2^n-1).

1, 5, 21, 85, 333, 1293, 4997, 19269, 74237, 285885, 1100725, 4237685, 16314029, 62803821, 241772773, 930737317, 3582994525, 13793193757, 53098638101, 204409869525, 786901384973, 3029275306957, 11661574029893, 44892686930437, 172820009444029, 665292226131325, 2561125574008437, 9859372988945461, 37954888549712749

Offset

0,2

Links

Table of n, a(n) for n=0..28.

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

Index entries for sequences related to cellular automata

Formula

G.f.: (1+x)/(1-4*x-x^2+4*x^3+8*x^4).

Crossrefs

Cf. A255450.

Sequence in context: A272547 A247001 A271157 * A028948 A084241 A002450

Adjacent sequences: A255448 A255449 A255450 * A255452 A255453 A255454

Keyword

nonn

Author

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

Status

approved