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A275514 Triangle read by rows: the coefficient [t^k] of the Ehrhart polynomial of the 2-hypersimplex in dimension n.

Table of values

n a(n)
1 1
2 1
3 -1
4 1
5 0
6 0
7 1
8 2
9 1
10 0
11 1
12 5
13 5
14 0
15 0
16 1
17 9
18 15
19 1
20 0
21 0
22 1
23 14
24 35
25 7
26 0
27 0
28 0
29 1
30 20
31 70
32 28
33 1
34 0
35 0
36 0
37 1
38 27
39 126
40 84
41 9
42 0
43 0
44 0
45 0
46 1
47 35
48 210
49 210
50 45
51 1
52 0
53 0
54 0
55 0
56 1
57 44
58 330
59 462
60 165
61 11
62 0
63 0
64 0
65 0
66 0
67 1
68 54
69 495
70 924
71 495
72 66
73 1
74 0
75 0
76 0
77 0
78 0
79 1
80 65
81 715

List of values

[1, 1, -1, 1, 0, 0, 1, 2, 1, 0, 1, 5, 5, 0, 0, 1, 9, 15, 1, 0, 0, 1, 14, 35, 7, 0, 0, 0, 1, 20, 70, 28, 1, 0, 0, 0, 1, 27, 126, 84, 9, 0, 0, 0, 0, 1, 35, 210, 210, 45, 1, 0, 0, 0, 0, 1, 44, 330, 462, 165, 11, 0, 0, 0, 0, 0, 1, 54, 495, 924, 495, 66, 1, 0, 0, 0, 0, 0, 1, 65, 715]