A032104 Shifts left 2 places under "BHK" (reversible, identity, unlabeled) transform.

1, 1, 1, 1, 2, 3, 8, 16, 40, 89, 214, 498, 1194, 2849, 6890, 16706, 40820, 100134, 246930, 611215, 1518972, 3787278, 9473250, 23762348, 59763611, 150670704, 380716008, 963993526, 2445626469, 6215681848, 15824165262