# Design counts at every base

- 2026-08-28 [Refuted] The per-base, `dim = 3` count `2, 22, 111618, 6005363762644688, 7089215977519836239803174210135872` has no OEIS entry - it is A398348, toroidal `n x n x n` binary arrays up to layer rotation, layer reflection and axis permutation, data verbatim with a b-file to `n = 14` and A255016 as the two-dimensional case; the null search ran against a dump older than the entry. Witness: A398348, lab/rs/oeis-terms.