A129898 Number of ways of placing non-attacking knights on an n X n chessboard symmetric under horizontal and vertical reflection.

1, 2, 2, 10, 7, 63, 38, 1252, 456, 42951, 11051, 2411116, 461788, 300699154, 38535499, 76231743090, 6586274655, 36545866507976, 2160036716063, 34857588279065543, 1397443585027894, 67527452467684091249