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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A334059 Triangle read by rows: T(n,k) is the number of perfect matchings on {1, 2, ..., 2n} with k disjoint strings of adjacent short pairs.

Table of values

n a(n)
0 1
1 0
2 1
3 1
4 2
5 0
6 5
7 8
8 2
9 0
10 36
11 49
12 19
13 1
14 0
15 329
16 414
17 180
18 22
19 0
20 0
21 3655
22 4398
23 1986
24 344
25 12
26 0
27 0
28 47844
29 55897
30 25722
31 5292
32 377
33 3
34 0
35 0
36 721315
37 825056
38 384366
39 87296
40 8746
41 246
42 0
43 0
44 0
45 12310199
46 13856570
47 6513530
48 1577350
49 192250
50 9436
51 90
52 0
53 0
54 0

List of values

[1, 0, 1, 1, 2, 0, 5, 8, 2, 0, 36, 49, 19, 1, 0, 329, 414, 180, 22, 0, 0, 3655, 4398, 1986, 344, 12, 0, 0, 47844, 55897, 25722, 5292, 377, 3, 0, 0, 721315, 825056, 384366, 87296, 8746, 246, 0, 0, 0, 12310199, 13856570, 6513530, 1577350, 192250, 9436, 90, 0, 0, 0]