A255282 a(n) = A255281(2^n-1).

1, 7, 31, 127, 511, 2031, 8043, 31735, 125063, 492367, 1937763, 7624303, 29995559, 118000431, 464192219, 1826013415, 7183010967, 28255752751, 111149170563, 437224979743, 1719900889847, 6765528227247, 26613372893339, 104688284286487

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+2*t-4*t^2-7*t^3+5*t^4-2*t^5+9*t^7-2*t^8+6*t^9)/(-1+5*t-21*t^3+18*t^4+3*t^5-24*t^6+31*t^7-11*t^8+22*t^9+10*t^10).

Crossrefs

Cf. A255281.

Sequence in context: A056909 A002147 A169785 * A303449 A083420 A277002

Adjacent sequences: A255279 A255280 A255281 * A255283 A255284 A255285

Keyword

nonn

Author

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

Status

approved