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A335794 Number of ON cells at n-th generation in an "Ulam-Warburton and Friedkin Replicator" hybrid two-dimensional cellular automaton. 3

%I #14 Jul 03 2020 16:29:06

%S 0,1,7,13,31,37,67,85,139,145,175,205,283,301,391,445,595,601,631,661,

%T 739,769,895,973,1195,1213,1303,1393,1627,1681,1927,2077,2467,2473,

%U 2503,2533,2611,2641,2767,2845,3067,3097,3223,3349,3667,3745,4111,4333,4939,4957

%N Number of ON cells at n-th generation in an "Ulam-Warburton and Friedkin Replicator" hybrid two-dimensional cellular automaton.

%C This 2D CA uses the neighborhood:

%C [0 X X]

%C [X X X]

%C [X X 0]

%C If a cell has an even number of ON neighbors and it is currently OFF, stay OFF; otherwise turn ON.

%C The results are similar to those for A151723, but with a distorted grid.

%C (The "look" keyword refers to the animation. - _N. J. A. Sloane_, Jul 03 2020)

%D S. M. Ulam, On some mathematical problems connected with patterns of growth of figures, pp. 215-224 of R. E. Bellman, ed., Mathematical Problems in the Biological Sciences, Proc. Sympos. Applied Math., Vol. 14, Amer. Math. Soc., 1962 (see Example 6, page 224).

%H Cody B. Duncan, <a href="https://videopress.com/v/KlNitD1U">Animation</a>

%Y Cf. A102900, A147562, A151723, A247666, A335795.

%K nonn,look

%O 0,3

%A _Cody B Duncan_, Jun 23 2020

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