A032067 Shifts left 2 places under "BGK" (reversible, element, unlabeled) transform.

1, 1, 1, 1, 2, 2, 4, 8, 12, 25, 43, 94, 177, 350, 702, 1413, 2954, 5963, 12333, 25625, 53069, 111201, 232727, 489177, 1032483, 2178467, 4617781, 9797643, 20844394, 44427033, 94824892, 202789246, 434245483, 931328024