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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.

A260665 Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the generalized pattern 12-3; triangle T(n,k), n>=0, 0<=k<=(n-1)*(n-2)/2-[n=0], read by rows.

Table of values

n a(n)
0 1
1 1
2 2
3 5
4 1
5 15
6 7
7 1
8 1
9 52
10 39
11 13
12 12
13 2
14 1
15 1
16 203
17 211
18 112
19 103
20 41
21 24
22 17
23 5
24 2
25 1
26 1
27 877
28 1168
29 843
30 811
31 492
32 337
33 238
34 122
35 68
36 39
37 28
38 8
39 5
40 2
41 1
42 1
43 4140
44 6728
45 6089
46 6273
47 4851
48 3798
49 2956
50 1960
51 1303
52 859
53 594
54 314
55 204
56 110
57 64
58 43
59 17
60 8
61 5
62 2
63 1
64 1

List of values

[1, 1, 2, 5, 1, 15, 7, 1, 1, 52, 39, 13, 12, 2, 1, 1, 203, 211, 112, 103, 41, 24, 17, 5, 2, 1, 1, 877, 1168, 843, 811, 492, 337, 238, 122, 68, 39, 28, 8, 5, 2, 1, 1, 4140, 6728, 6089, 6273, 4851, 3798, 2956, 1960, 1303, 859, 594, 314, 204, 110, 64, 43, 17, 8, 5, 2, 1, 1]