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

0, 1, 7, 13, 31, 37, 67, 85, 139, 145, 175, 205, 283, 301, 391, 445, 595, 601, 631, 661, 739, 769, 895, 973, 1195, 1213, 1303, 1393, 1627, 1681, 1927, 2077, 2467, 2473, 2503, 2533, 2611, 2641, 2767, 2845, 3067, 3097, 3223, 3349, 3667, 3745, 4111, 4333, 4939, 4957

Offset: 0

Author

Cody B Duncan, Jun 23 2020

Keywords

• nonn
• look

Comments

This 2D CA uses the neighborhood:

[0 X X]

[X X X]

[X X 0]

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

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

(The "look" keyword refers to the animation. - N. J. A. Sloane, Jul 03 2020)

References

• 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).

Links

• Cody B. Duncan, Animation

Crossrefs

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