A255476 A255475(2^n-1).

1, 6, 24, 94, 356, 1338, 5036, 18942, 71264, 268114, 1008728, 3795162, 14278632, 53720914, 202115688, 760425734, 2860971568, 10763916406, 40497394188, 152364521390, 573245456832, 2156738015294, 8114358001856, 30528884544598, 114859708062884, 432140012215626

Offset

0,2

Links

Table of n, a(n) for n=0..25.

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*x)*(1+x-2*x^2-x^3-5*x^4-7*x^5+2*x^6-7*x^7+6*x^8)/(1-3*x-6*x^2+9*x^3+9*x^4+7*x^5-2*x^6-15*x^7+4*x^8+8*x^9+8*x^10).

Crossrefs

Cf. A255475.

Sequence in context: A281074 A255296 A242432 * A303390 A344039 A253101

Adjacent sequences: A255473 A255474 A255475 * A255477 A255478 A255479

Keyword

nonn

Author

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

Status

approved