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
Keywords
References
- S. Wolfram, A New Kind of Science, Wolfram Media, 2002; pp. 173-175.
Links
Programs
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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]