A325477 - cp's OEIS frontend

A325477 Irregular triangle read by rows: T(n, k) gives the coefficients of the Girard-Waring formula for the sum of n-th power of three indeterminates in terms of their elementary symmetric functions.

n	a(n)
1	1
2	1
3	-2
4	1
5	-3
6	3
7	1
8	-4
9	2
10	4
11	1
12	-5
13	5
14	5
15	-5
16	1
17	1
18	-6
19	9
20	6
21	-2
22	-12
23	3
24	1
25	-7
26	14
27	7
28	-7
29	-21
30	7
31	7
32	1
33	-8
34	20
35	8
36	-16
37	-32
38	2
39	24
40	12
41	-8
42	1
43	-9
44	27
45	9
46	-30
47	-45
48	9
49	54
50	18
51	-9
52	-27
53	3
54	1
55	-10
56	35
57	10
58	-50
59	-60
60	25
61	100
62	25
63	-2
64	-40
65	-60
66	15
67	10

[1, 1, -2, 1, -3, 3, 1, -4, 2, 4, 1, -5, 5, 5, -5, 1, 1, -6, 9, 6, -2, -12, 3, 1, -7, 14, 7, -7, -21, 7, 7, 1, -8, 20, 8, -16, -32, 2, 24, 12, -8, 1, -9, 27, 9, -30, -45, 9, 54, 18, -9, -27, 3, 1, -10, 35, 10, -50, -60, 25, 100, 25, -2, -40, -60, 15, 10]

cp's OEIS Frontend

A325477 Irregular triangle read by rows: T(n, k) gives the coefficients of the Girard-Waring formula for the sum of n-th power of three indeterminates in terms of their elementary symmetric functions.

Table of values

List of values

n	a(n)
1	1
2	1
3	-2
4	1
5	-3
6	3
7	1
8	-4
9	2
10	4
11	1
12	-5
13	5
14	5
15	-5
16	1
17	1
18	-6
19	9
20	6
21	-2
22	-12
23	3
24	1
25	-7
26	14
27	7
28	-7
29	-21
30	7
31	7
32	1
33	-8
34	20
35	8
36	-16
37	-32
38	2
39	24
40	12
41	-8
42	1
43	-9
44	27
45	9
46	-30
47	-45
48	9
49	54
50	18
51	-9
52	-27
53	3
54	1
55	-10
56	35
57	10
58	-50
59	-60
60	25
61	100
62	25
63	-2
64	-40
65	-60
66	15
67	10

n	a(n)
1	1
2	1
3	-2
4	1
5	-3
6	3
7	1
8	-4
9	2
10	4
11	1
12	-5
13	5
14	5
15	-5
16	1
17	1
18	-6
19	9
20	6
21	-2
22	-12
23	3
24	1
25	-7
26	14
27	7
28	-7
29	-21
30	7
31	7
32	1
33	-8
34	20
35	8
36	-16
37	-32
38	2
39	24
40	12
41	-8
42	1
43	-9
44	27
45	9
46	-30
47	-45
48	9
49	54
50	18
51	-9
52	-27
53	3
54	1
55	-10
56	35
57	10
58	-50
59	-60
60	25
61	100
62	25
63	-2
64	-40
65	-60
66	15
67	10

n	a(n)
1	1
2	1
3	-2
4	1
5	-3
6	3
7	1
8	-4
9	2
10	4
11	1
12	-5
13	5
14	5
15	-5
16	1
17	1
18	-6
19	9
20	6
21	-2
22	-12
23	3
24	1
25	-7
26	14
27	7
28	-7
29	-21
30	7
31	7
32	1
33	-8
34	20
35	8
36	-16
37	-32
38	2
39	24
40	12
41	-8
42	1
43	-9
44	27
45	9
46	-30
47	-45
48	9
49	54
50	18
51	-9
52	-27
53	3
54	1
55	-10
56	35
57	10
58	-50
59	-60
60	25
61	100
62	25
63	-2
64	-40
65	-60
66	15
67	10