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A162298 Faulhaber's triangle: triangle T(k,y) read by rows, giving numerator of the coefficient [m^y] of the polynomial Sum_{x=1..m} x^(k-1).

Table of values

n a(n)
0 1
1 1
2 1
3 1
4 1
5 1
6 0
7 1
8 1
9 1
10 -1
11 0
12 1
13 1
14 1
15 0
16 -1
17 0
18 5
19 1
20 1
21 1
22 0
23 -1
24 0
25 1
26 1
27 1
28 0
29 1
30 0
31 -7
32 0
33 7
34 1
35 1
36 -1
37 0
38 2
39 0
40 -7
41 0
42 2
43 1
44 1
45 0
46 -3
47 0
48 1
49 0
50 -7
51 0
52 3
53 1
54 1
55 5
56 0
57 -1
58 0
59 1
60 0
61 -1
62 0
63 5
64 1
65 1
66 0
67 5
68 0
69 -11
70 0
71 11
72 0
73 -11
74 0
75 11
76 1
77 1
78 -691
79 0
80 5
81 0
82 -33
83 0
84 22
85 0
86 -11
87 0
88 1
89 1
90 1
91 0
92 -691
93 0
94 65
95 0
96 -143
97 0
98 143
99 0
100 -143
101 0
102 13
103 1
104 1

List of values

[1, 1, 1, 1, 1, 1, 0, 1, 1, 1, -1, 0, 1, 1, 1, 0, -1, 0, 5, 1, 1, 1, 0, -1, 0, 1, 1, 1, 0, 1, 0, -7, 0, 7, 1, 1, -1, 0, 2, 0, -7, 0, 2, 1, 1, 0, -3, 0, 1, 0, -7, 0, 3, 1, 1, 5, 0, -1, 0, 1, 0, -1, 0, 5, 1, 1, 0, 5, 0, -11, 0, 11, 0, -11, 0, 11, 1, 1, -691, 0, 5, 0, -33, 0, 22, 0, -11, 0, 1, 1, 1, 0, -691, 0, 65, 0, -143, 0, 143, 0, -143, 0, 13, 1, 1]