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.