A255280 A255279(2^n-1).

1, 7, 25, 107, 413, 1615, 6241, 24227, 93973, 364743, 1415289, 5491643, 21307533, 82673535, 320773713, 1244606995, 4829092037, 18736941431, 72699560681, 282075165611, 1094454989757, 4246498377391, 16476464213569, 63928877142147

Offset

0,2

Links

Table of n, a(n) for n=0..23.

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.: -(-1-2*t+7*t^2-12*t^3+16*t^5+16*t^6)/(1-5*t+3*t^2+9*t^3-16*t^4+16*t^6+16*t^7).

Crossrefs

Cf. A255279.

Sequence in context: A102900 A155271 A200152 * A327627 A110240 A266810

Adjacent sequences: A255277 A255278 A255279 * A255281 A255282 A255283

Keyword

nonn

Author

N. J. A. Sloane and Doron Zeilberger, Feb 19 2015

Status

approved