OFFSET
0,2
COMMENTS
a(2^k-1) begins 1,5,21,85, which is (4^k-1)/3, but a(15) = 317 not 341, breaking the pattern.
LINKS
N. J. A. Sloane, Illustration of first 24 generations of A246333
N. J. A. Sloane, Illustration of a(6) = 57 (Note that this is a different configuration of 57 cells from that in generation 6 of A169707, although the configurations of 37 cells at generation 5 are the same up to rotation.)
N. J. A. Sloane, On the Number of ON Cells in Cellular Automata, arXiv:1503.01168, 2015
MATHEMATICA
max = 100; (Partition[Total[Flatten[#]]& /@ CellularAutomaton[{493, {2, {{0, 2, 0}, {2, 1, 2}, {0, 2, 0}}}, {1, 1}}, {{{1}}, 0}, max], 2] /. {a_, b_} -> {a, (max + 1 - Mod[max, 2])^2 - b} )[[All, 2]] (* Jean-François Alcover, Oct 03 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Aug 30 2014
STATUS
approved