A255477 Number of ON cells after n generations in 4-D cellular automaton defined by 4-dimensional analog of Moore neighborhood, when started with a single ON cell at generation 0.

1, 80, 80, 624, 80, 6400, 624, 16480, 80, 6400, 6400, 49920, 624, 49920, 16480, 221888, 80, 6400, 6400, 49920, 6400, 512000, 49920, 1318400, 624, 49920, 49920, 389376, 16480, 1318400, 221888, 4245888, 80, 6400, 6400, 49920, 6400, 512000, 49920, 1318400, 6400, 512000, 512000, 3993600, 49920, 3993600, 1318400

Offset

0,2

Comments

Run length transform of A255478.

Links

Table of n, a(n) for n=0..46.

Shalosh B. Ekhad, Details about A255477 and A255478

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

Crossrefs

Cf. A255478.

See also A160239 and A246031 for analogs in 2 and 3 dimensions.

Sequence in context: A200720 A220088 A126783 * A296878 A114836 A294740

Adjacent sequences: A255474 A255475 A255476 * A255478 A255479 A255480

Keyword

nonn

Author

Doron Zeilberger, Feb 26 2015

Status

approved