A324602 - cp's OEIS frontend

A324602 Irregular triangle read by rows: T(n, k) gives the coefficients of the Girard-Waring formula for the sum of n-th power of four indeterminates in terms of their elementary symmetric functions (reverse Abramowitz-Stegun order of partitions).

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

[1, 1, -2, 1, -3, 3, 1, -4, 2, 4, -4, 1, -5, 5, 5, -5, -5, 1, -6, 9, -2, 6, -12, 3, -6, 6, 1, -7, 14, -7, 7, -21, 7, 7, -7, 14, -7, 1, -8, 20, -16, 2, 8, -32, 24, 12, -8, -8, 24, -8, -16, 4, 1, -9, 27, -30, 9, 9, -45, 54, -9, 18, -27, 3, -9, 36, -27, -27, 18, 9, 1, -10, 35, -50, 25, -2, 10, -60, 100, -40, 25, -60, 15, 10, -10, 50, -60, 10, -40, 60, -10, 15, -10]

cp's OEIS Frontend

A324602 Irregular triangle read by rows: T(n, k) gives the coefficients of the Girard-Waring formula for the sum of n-th power of four indeterminates in terms of their elementary symmetric functions (reverse Abramowitz-Stegun order of partitions).

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