A255278 A255277(2^n-1).

1, 7, 27, 113, 447, 1743, 6789, 26371, 102399, 397425, 1542327, 5984815, 23222957, 90110355, 349647247, 1356699401, 5264252887, 20426289087, 79257818197, 307535089027, 1193293339871, 4630199918049, 17966035966423, 69711557106543

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.: -(-1-4*t+3*t^3-6*t^4+6*t^5+12*t^6+12*t^7)/((t+1)*(12*t^7-8*t^6+2*t^5+2*t^4+9*t^3-2*t^2-4*t+1)).

Crossrefs

Cf. A255277.

Sequence in context: A090856 A055917 A056120 * A294262 A048711 A249184

Adjacent sequences: A255275 A255276 A255277 * A255279 A255280 A255281

Keyword

nonn

Author

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

Status

approved