A246333 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 493" or if n is odd, number of OFF cells.

1, 1, 5, 5, 17, 9, 29, 21, 61, 25, 73, 37, 109, 57, 157, 85, 229, 89, 241, 101, 277, 121, 329, 165, 429, 169, 477, 213, 573, 217, 633, 317, 861, 321, 873, 333, 909, 353, 961, 397, 1061, 401, 1113, 461, 1237, 481, 1353, 637, 1645, 593, 1661, 733, 1893, 689, 1969, 877, 2325, 801, 2321, 981, 2669, 921, 2693, 1157, 3245, 1185, 3305, 1197, 3341, 1217, 3393, 1261, 3493

Offset: 0

Author

N. J. A. Sloane, Aug 30 2014

Keywords

• nonn

Comments

More than the usual number of terms are shown in order to distinguish this from a closely related entry.

References

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

Links

• N. J. A. Sloane, Illustration of first generations 0 through 23
• N. J. A. Sloane, Illustration of first generations 0 through 31
• 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

Bisections: A246334, A246335.

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

Programs

Mathematica

Map[Function[Apply[Plus, Flatten[ #1]]], CellularAutomaton[{ 493, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 200]] (* then subtract the odd-indexed terms from 201^2 *)
ArrayPlot /@ CellularAutomaton[{493, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, 23]