A323973 - OEIS

A323973

Number of 9 X n integer matrices (m_{i,j}) such that m_{1,1}=0, m_{9,n}=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2.

1, 28, 406, 4631, 38304, 249814, 1357051, 6362806, 26400811, 98755951, 337852708, 1069253171, 3159851197, 8786784471, 23140533785, 58032604728, 139238130793, 320911139366, 712976624945, 1531659348507, 3190199728577, 6457722870812, 12731177730290, 24491108899982