A255449 a(n) = A255448(2^n-1).

1, 5, 19, 71, 257, 925, 3323, 11919, 42729, 153173, 549075, 1968247, 7055601, 25292621, 90668587, 325028895, 1165167673, 4176914949, 14973497539, 53677355783, 192423938625, 689806295677, 2472835597211, 8864685923631, 31778359388937, 113919900383925, 408383064188083, 1463982386475159

Offset

0,2

Links

Table of n, a(n) for n=0..27.

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-x^2-2*x^3-6*x^4)/(1-6*x+10*x^2-8*x^3+15*x^4-10*x^5-10*x^6).

Crossrefs

Cf. A255448.

Sequence in context: A222538 A095073 A128349 * A296630 A001834 A099393

Adjacent sequences: A255446 A255447 A255448 * A255450 A255451 A255452

Keyword

nonn

Author

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

Status

approved