cp's OEIS Frontend

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.

A178516 Triangle read by rows: T(n,k) is the number of up-down permutations of {1,2,...,n} having genus k (see first comment for definition of genus).

Table of values

n a(n)
1 1
2 1
3 0
4 2
5 0
6 0
7 2
8 3
9 0
10 0
11 6
12 10
13 0
14 0
15 0
16 6
17 38
18 17
19 0
20 0
21 0
22 22
23 142
24 104
25 4
26 0
27 0
28 0
29 22
30 351
31 778
32 234
33 0
34 0
35 0
36 0
37 90
38 1419
39 4086
40 2235
41 106
42 0
43 0
44 0
45 0
46 90
47 2856
48 17402
49 24357
50 5816
51 0
52 0
53 0
54 0
55 0
56 394
57 12208
58 87434
59 171305
60 78705
61 3746
62 0
63 0
64 0
65 0
66 0
67 394
68 21676
69 278062
70 1053425
71 1120648
72 228560
73 0

List of values

[1, 1, 0, 2, 0, 0, 2, 3, 0, 0, 6, 10, 0, 0, 0, 6, 38, 17, 0, 0, 0, 22, 142, 104, 4, 0, 0, 0, 22, 351, 778, 234, 0, 0, 0, 0, 90, 1419, 4086, 2235, 106, 0, 0, 0, 0, 90, 2856, 17402, 24357, 5816, 0, 0, 0, 0, 0, 394, 12208, 87434, 171305, 78705, 3746, 0, 0, 0, 0, 0, 394, 21676, 278062, 1053425, 1120648, 228560, 0]