A323972 - cp's OEIS frontend

A323972 Number of 8 X n integer matrices (m_{i,j}) such that m_{1,1}=0, m_{8,n}=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2.

n	a(n)
0	1
1	21
2	259
3	2570
4	18546
5	106067
6	508484
7	2117690
8	7852836
9	26400811
10	81594028
11	234380304
12	631352789
13	1606571023
14	3885713191
15	8979237218
16	19912769178
17	42540796862
18	87841523926
19	175820917355
20	341996038445
21	647926774508
22	1197980968295
23	2165529201795
24	3833173915877

[1, 21, 259, 2570, 18546, 106067, 508484, 2117690, 7852836, 26400811, 81594028, 234380304, 631352789, 1606571023, 3885713191, 8979237218, 19912769178, 42540796862, 87841523926, 175820917355, 341996038445, 647926774508, 1197980968295, 2165529201795, 3833173915877]

cp's OEIS Frontend

A323972 Number of 8 X n integer matrices (m_{i,j}) such that m_{1,1}=0, m_{8,n}=2, and all rows, columns, and falling diagonals are (weakly) monotonic without jumps of 2.

Table of values

List of values