A335794 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

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

Table of n, a(n) for n=0..49.

Cody B. Duncan, Animation

CROSSREFS

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

Sequence in context: A151723 A046139 A023243 * A331077 A087196 A074963

Adjacent sequences: A335791 A335792 A335793 * A335795 A335796 A335797

KEYWORD

nonn,look

AUTHOR

Cody B Duncan, Jun 23 2020

STATUS

approved