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A305008 Triangle read by rows of coefficients for functions and generating functions for the number of achiral color patterns (set partitions) for a row or loop of varying length using exactly n colors (sets).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 0
6 1
7 2
8 -1
9 -2
10 1
11 2
12 -1
13 -4
14 -2
15 1
16 3
17 -3
18 -11
19 0
20 6
21 1
22 3
23 -3
24 -17
25 -8
26 20
27 16
28 1
29 4
30 -6
31 -32
32 1
33 64
34 20
35 -20
36 1
37 4
38 -6
39 -44
40 -19
41 140
42 136
43 -120
44 -132
45 1
46 5
47 -10
48 -70
49 5
50 301
51 152
52 -396
53 -280
54 28
55 1
56 5
57 -10
58 -90
59 -35
60 541
61 608
62 -1228
63 -1752
64 800
65 1216
66 1
67 6
68 -15
69 -130
70 15
71 966
72 643
73 -2798

List of values

[1, 1, 1, 1, 1, 0, 1, 2, -1, -2, 1, 2, -1, -4, -2, 1, 3, -3, -11, 0, 6, 1, 3, -3, -17, -8, 20, 16, 1, 4, -6, -32, 1, 64, 20, -20, 1, 4, -6, -44, -19, 140, 136, -120, -132, 1, 5, -10, -70, 5, 301, 152, -396, -280, 28, 1, 5, -10, -90, -35, 541, 608, -1228, -1752, 800, 1216, 1, 6, -15, -130, 15, 966, 643, -2798]