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A111577 Galton triangle T(n, k) = T(n-1, k-1) + (3k-2)*T(n-1, k) read by rows.

Table of values

n a(n)
1 1
2 1
3 1
4 1
5 5
6 1
7 1
8 21
9 12
10 1
11 1
12 85
13 105
14 22
15 1
16 1
17 341
18 820
19 325
20 35
21 1
22 1
23 1365
24 6081
25 4070
26 780
27 51
28 1
29 1
30 5461
31 43932
32 46781
33 14210
34 1596
35 70
36 1
37 1
38 21845
39 312985
40 511742
41 231511
42 39746
43 2926
44 92
45 1
46 1
47 87381
48 2212740
49 5430405
50 3521385
51 867447
52 95340
53 4950
54 117
55 1

List of values

[1, 1, 1, 1, 5, 1, 1, 21, 12, 1, 1, 85, 105, 22, 1, 1, 341, 820, 325, 35, 1, 1, 1365, 6081, 4070, 780, 51, 1, 1, 5461, 43932, 46781, 14210, 1596, 70, 1, 1, 21845, 312985, 511742, 231511, 39746, 2926, 92, 1, 1, 87381, 2212740, 5430405, 3521385, 867447, 95340, 4950, 117, 1]