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A296449 Triangle I(m,n) read by rows: number of perfect lattice paths on the m*n board.

Table of values

n a(n)
1 1
2 2
3 4
4 3
5 7
6 17
7 4
8 10
9 26
10 68
11 5
12 13
13 35
14 95
15 259
16 6
17 16
18 44
19 122
20 340
21 950
22 7
23 19
24 53
25 149
26 421
27 1193
28 3387
29 8
30 22
31 62
32 176
33 502
34 1436
35 4116
36 11814
37 9
38 25
39 71
40 203
41 583
42 1679
43 4845
44 14001
45 40503
46 10
47 28
48 80
49 230
50 664
51 1922
52 5574
53 16188
54 47064
55 136946
56 11
57 31
58 89
59 257
60 745
61 2165
62 6303
63 18375
64 53625
65 156629
66 457795

List of values

[1, 2, 4, 3, 7, 17, 4, 10, 26, 68, 5, 13, 35, 95, 259, 6, 16, 44, 122, 340, 950, 7, 19, 53, 149, 421, 1193, 3387, 8, 22, 62, 176, 502, 1436, 4116, 11814, 9, 25, 71, 203, 583, 1679, 4845, 14001, 40503, 10, 28, 80, 230, 664, 1922, 5574, 16188, 47064, 136946, 11, 31, 89, 257, 745, 2165, 6303, 18375, 53625, 156629, 457795]