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A071945 Triangle T(n,k) read by rows giving number of underdiagonal lattice paths from (0,0) to (n,k) using steps R=(1,0), V=(0,1) and D=(2,1).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 3
5 3
6 1
7 5
8 9
9 9
10 1
11 7
12 19
13 31
14 31
15 1
16 9
17 33
18 73
19 113
20 113
21 1
22 11
23 51
24 143
25 287
26 431
27 431
28 1
29 13
30 73
31 249
32 609
33 1153
34 1697
35 1697
36 1
37 15
38 99
39 399
40 1151
41 2591
42 4719
43 6847
44 6847
45 1
46 17
47 129
48 601
49 2001
50 5201
51 11073
52 19617
53 28161
54 28161
55 1
56 19
57 163
58 863
59 3263

List of values

[1, 1, 1, 1, 3, 3, 1, 5, 9, 9, 1, 7, 19, 31, 31, 1, 9, 33, 73, 113, 113, 1, 11, 51, 143, 287, 431, 431, 1, 13, 73, 249, 609, 1153, 1697, 1697, 1, 15, 99, 399, 1151, 2591, 4719, 6847, 6847, 1, 17, 129, 601, 2001, 5201, 11073, 19617, 28161, 28161, 1, 19, 163, 863, 3263]