A069397 Half the number of 4 X n binary arrays with a path of adjacent 1's and a path of adjacent 0's from top row to bottom row.
1, 67, 2427, 66579, 1565371, 33438451, 669776139, 12817737731, 237180629275, 4277806868563, 75628309151275, 1315968756706339, 22606389934281147, 384286142618740851, 6475978445076745163
Offset: 2