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A326166 Total number of ants after n iterations in male/female Langton's ant variation.

%I A326166 #29 Nov 24 2023 12:15:35
%S A326166 2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
%T A326166 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,6,
%U A326166 6,6,6,6,6,6,6,7,7,7,7,7,7
%N A326166 Total number of ants after n iterations in male/female Langton's ant variation.
%C A326166 There are male (blue) and female (pink) ants.
%C A326166 The rules governing the behavior of the ants are as follows:
%C A326166 1. On a white square, turn 90 degrees right, flip the color of the square, then move forward one unit.
%C A326166 2. On a black square, turn 90 degrees left, flip the color of the square, then move forward one unit.
%C A326166 3. If a male ant and a female ant occupy the same square, they mate and leave behind an egg.
%C A326166 4. When two ants of the same sex meet on a square, nothing happens.
%C A326166 5. Any ant can only mate with exactly one ant of the other sex each iteration.
%C A326166 6. The egg hatches when the square where the egg is located is no longer occupied by another ant.
%C A326166 7. When there is more than one egg on a square, only one of them can hatch per iteration.
%C A326166 8. The gender of the new ant is male if the square it hatches on is white in that iteration, female otherwise.
%C A326166 9. The color referred to in the previous rule is the color the square has in the first iteration where the new ant is alive.
%C A326166 10. The new ant always looks in north direction (upwards) at birth.
%H A326166 R. J. Mathar, <a href="/A326166/b326166.txt">Table of n, a(n) for n = 0..399</a>
%H A326166 Felix Fröhlich, <a href="/A326166/a326166_1.pdf">Illustration of iterations 0-100</a>
%H A326166 R. J. Mathar, <a href="/A326166/a326166_2.pdf">More illustrations</a>
%e A326166 See illustration in links.
%Y A326166 Cf. A326167, A326168, A326169.
%K A326166 nonn
%O A326166 0,1
%A A326166 _Felix Fröhlich_, Jun 09 2019