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

Author

Cody B Duncan, Jun 24 2020

Keywords

• nonn

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.

Crossrefs

Cf. A147562, A247666, A335794