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A136678 Triangle read by rows: n-th row (n>=0) gives coefficients of characteristic polynomial of n X n generalized Cartan matrix M defined in Comments.

Table of values

n a(n)
0 1
1 2
2 -1
3 2
4 -4
5 1
6 2
7 -9
8 6
9 -1
10 1
11 -16
12 20
13 -8
14 1
15 0
16 -24
17 50
18 -35
19 10
20 -1
21 -2
22 -32
23 104
24 -112
25 54
26 -12
27 1
28 -4
29 -38
30 190
31 -293
32 210
33 -77
34 14
35 -1
36 -7
37 -40
38 314
39 -664
40 659
41 -352
42 104
43 -16
44 1
45 -10
46 -35
47 478
48 -1349
49 1772
50 -1286
51 546
52 -135
53 18
54 -1
55 -14
56 -20
57 677
58 -2512
59 4234
60 -3992
61 2274
62 -800
63 170
64 -20
65 1

List of values

[1, 2, -1, 2, -4, 1, 2, -9, 6, -1, 1, -16, 20, -8, 1, 0, -24, 50, -35, 10, -1, -2, -32, 104, -112, 54, -12, 1, -4, -38, 190, -293, 210, -77, 14, -1, -7, -40, 314, -664, 659, -352, 104, -16, 1, -10, -35, 478, -1349, 1772, -1286, 546, -135, 18, -1, -14, -20, 677, -2512, 4234, -3992, 2274, -800, 170, -20, 1]