A246332 a(n) = if n is even, number of ON cells at stage n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 461" or if n is odd, number of OFF cells.

1, 1, 5, 5, 17, 9, 21, 21, 25, 33, 45, 49, 81, 69, 105, 81, 101, 101, 165, 141, 197, 185, 217, 209, 265, 245, 337, 269, 405, 325, 477, 389, 521, 461, 625, 469, 621, 485, 769, 585, 849, 737, 825, 705, 973, 713, 985, 841, 1089, 925, 1257, 969, 1229, 1093, 1265

Offset

0,3

References

S. Wolfram, A New Kind of Science, Wolfram Media, 2002; pp. 173-175.

Links

Table of n, a(n) for n=0..54.

N. J. A. Sloane, Illustration of first 24 generations

Index entries for sequences related to cellular automata

Mathematica

Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 461, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 130]] (* then subtract the odd-indexed terms from 131^2 *)
ArrayPlot /@ CellularAutomaton[{461, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]

Crossrefs

A246329 is a bisection.

Cf. A169699, A246316, A246318, A246325, A246326, ...

Sequence in context: A273703 A253065 A294612 * A300784 A273326 A273421

Adjacent sequences: A246329 A246330 A246331 * A246333 A246334 A246335

Keyword

nonn

Author

N. J. A. Sloane, Aug 30 2014

Status

approved