A255453 A255452(2^n-1).

1, 5, 21, 77, 277, 1005, 3669, 13421, 49109, 179693, 657493, 2405741, 8802517, 32208109, 117848405, 431203437, 1577759189, 5772968941, 21123103317, 77288739693, 282796954325, 1034744746733, 3786096966485, 13853204169325, 50688418034645, 185467253023213, 678618573585493, 2483043021926765

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

Crossrefs

Cf. A255452.

Sequence in context: A126645 A026329 A014533 * A134770 A272787 A084780

Adjacent sequences: A255450 A255451 A255452 * A255454 A255455 A255456

Keyword

nonn

Author

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

Status

approved