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.

A186761 Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k increasing odd cycles (0<=k<=n). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1) . A cycle is said to be odd if it has an odd number of entries. For example, the permutation (152)(347)(6)(8) has 3 increasing odd cycles.

Table of values

n a(n)
0 1
1 0
2 1
3 1
4 0
5 1
6 1
7 4
8 0
9 1
10 9
11 4
12 10
13 0
14 1
15 33
16 56
17 10
18 20
19 0
20 1
21 235
22 218
23 211
24 20
25 35
26 0
27 1
28 1517
29 1982
30 833
31 616
32 35
33 56
34 0
35 1
36 12593
37 14040
38 9612
39 2408
40 1526
41 56
42 84
43 0
44 1
45 111465
46 134248
47 72588
48 35176
49 5838
50 3360
51 84
52 120
53 0
54 1
55 1122819
56 1305126
57 797461
58 276120
59 107710
60 12516
61 6762
62 120
63 165
64 0
65 1

List of values

[1, 0, 1, 1, 0, 1, 1, 4, 0, 1, 9, 4, 10, 0, 1, 33, 56, 10, 20, 0, 1, 235, 218, 211, 20, 35, 0, 1, 1517, 1982, 833, 616, 35, 56, 0, 1, 12593, 14040, 9612, 2408, 1526, 56, 84, 0, 1, 111465, 134248, 72588, 35176, 5838, 3360, 84, 120, 0, 1, 1122819, 1305126, 797461, 276120, 107710, 12516, 6762, 120, 165, 0, 1]