A032131 Shifts left 2 places under "BIK" (reversible, indistinct, unlabeled) transform.

1, 1, 1, 2, 3, 7, 13, 31, 66, 160, 369, 907, 2191, 5461, 13558, 34209, 86426, 220359, 563475, 1449282, 3739365, 9688104, 25173917, 65621067, 171498288, 449361649, 1180078602, 3105740797, 8189749105, 21636207962