A255276 A255275(2^n-1).

1, 8, 28, 128, 480, 2008, 7776, 31672, 124528, 500792, 1982144, 7926808, 31474832, 125567832, 499339552, 1989964024, 7918843056, 31542845816, 125560568192, 500031498968, 1990726198480, 7927069429912, 31561303322592, 125671455827384

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+20*t^2-56*t^3+49*t^4+36*t^5-128*t^6+128*t^7)/(1-8*t+16*t^2+24*t^3-145*t^4+236*t^5-164*t^6+24*t^7+32*t^8).

Crossrefs

Cf. A255275.

Sequence in context: A054857 A241893 A200188 * A110046 A027380 A226744

Adjacent sequences: A255273 A255274 A255275 * A255277 A255278 A255279

Keyword

nonn

Author

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

Status

approved