A335796 Number of ON cells at n-th generation in the "Ulam-Warburton and Friedkin Replicator" hybrid two-dimensional cellular automaton.

0, 1, 9, 17, 33, 41, 97, 129, 193, 209, 265, 313, 433, 481, 609, 705, 849, 889, 977, 1073, 1241, 1369, 1641, 1769, 2025, 2089, 2225, 2337, 2601, 2793, 3113, 3337, 3705, 3785, 3921, 4081, 4361, 4601, 5033, 5273, 5641, 5849, 6193, 6449, 6937, 7161, 7641, 7929, 8489, 8625, 8857, 9145

Offset

0,3

Comments

The 2D CA uses the Moore neighborhood (all eight orthogonally and diagonally adjacent cells are in the neighborhood).

Generation follows the following algorithm: If a cell has an even number of ON neighbors and it is currently OFF, stay OFF; otherwise turn ON.

Links

Table of n, a(n) for n=0..51.

Crossrefs

Cf. A147562, A247666, A335794

Sequence in context: A090994 A164887 A328016 * A260477 A275543 A111733

Adjacent sequences: A335793 A335794 A335795 * A335797 A335798 A335799

Keyword

nonn

Author

Cody B Duncan, Jun 24 2020

Status

approved