A306372 - OEIS

A306372

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

%I #20 Dec 01 2023 05:16:25

%S 1,4,44,1236,84910,14024408,5530983756,5192169001644,

%T 11583105980431652,61353264333274642456,771168645274178148758934,

%U 22993716372161876140519972488,1625987621134180524757435478838056,272649922373702777601949547955204462396,108399145705124270227889424469312592196654704

%N Number of n X n integer matrices (m_{i,j}) such that m_{1,1}=1, m_{n,n}=n, and all rows and columns are (weakly) monotonic without jumps larger than 1.

%F a(n) = A323849(n,n-1).

%Y Cf. A323849, A367432.

%K nonn

%O 1,2

%A _Alois P. Heinz_, Feb 11 2019