A306372 - cp's OEIS frontend

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.

n	a(n)
1	1
2	4
3	44
4	1236
5	84910
6	14024408
7	5530983756
8	5192169001644
9	11583105980431652
10	61353264333274642456
11	771168645274178148758934
12	22993716372161876140519972488
13	1625987621134180524757435478838056
14	272649922373702777601949547955204462396
15	108399145705124270227889424469312592196654704

[1, 4, 44, 1236, 84910, 14024408, 5530983756, 5192169001644, 11583105980431652, 61353264333274642456, 771168645274178148758934, 22993716372161876140519972488, 1625987621134180524757435478838056, 272649922373702777601949547955204462396, 108399145705124270227889424469312592196654704]

cp's OEIS Frontend

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.

Table of values

List of values