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.

A186759 Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k cycles that are either nonincreasing or of length 1 (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) < b(2) < b(3) < ... .

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 4
11 9
12 10
13 0
14 1
15 11
16 53
17 35
18 20
19 0
20 1
21 41
22 280
23 268
24 95
25 35
26 0
27 1
28 162
29 1804
30 1904
31 903
32 210
33 56
34 0
35 1
36 715
37 12971
38 15727
39 8008
40 2408
41 406
42 84
43 0
44 1
45 3425
46 104600
47 142533
48 80323
49 25662
50 5502
51 714
52 120
53 0
54 1
55 17722
56 936370
57 1418444
58 871575
59 303385
60 68712
61 11256
62 1170
63 165
64 0
65 1

List of values

[1, 0, 1, 1, 0, 1, 1, 4, 0, 1, 4, 9, 10, 0, 1, 11, 53, 35, 20, 0, 1, 41, 280, 268, 95, 35, 0, 1, 162, 1804, 1904, 903, 210, 56, 0, 1, 715, 12971, 15727, 8008, 2408, 406, 84, 0, 1, 3425, 104600, 142533, 80323, 25662, 5502, 714, 120, 0, 1, 17722, 936370, 1418444, 871575, 303385, 68712, 11256, 1170, 165, 0, 1]