A307449 - cp's OEIS frontend

A307449 Irregular triangle read by rows: T(n, k) gives the coefficients of the Girard-Waring formula for the sum of n-th power of five 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	5
19	1
20	-6
21	9
22	6
23	-2
24	-12
25	-6
26	3
27	6
28	6
29	1
30	-7
31	14
32	7
33	-7
34	-21
35	-7
36	7
37	7
38	14
39	7
40	-7
41	-7
42	1
43	-8
44	20
45	8
46	-16
47	-32
48	-8
49	2
50	24
51	12
52	24
53	8
54	-8
55	-8
56	-16
57	-16
58	4
59	8
60	1
61	-9
62	27
63	9
64	-30
65	-45
66	-9
67	9
68	54
69	18
70	36
71	9
72	-9
73	-27
74	-27
75	-27
76	-27
77	3
78	18
79	9
80	9
81	18
82	-9
83	1
84	-10
85	35
86	10
87	-50
88	-60
89	-10
90	25
91	100
92	25
93	50
94	10
95	-2
96	-40
97	-60
98	-60
99	-40
100	-40
101	15
102	10
103	10
104	60
105	30
106	15
107	30
108	-10
109	-10
110	-20
111	-20
112	5

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

cp's OEIS Frontend

A307449 Irregular triangle read by rows: T(n, k) gives the coefficients of the Girard-Waring formula for the sum of n-th power of five 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	5
19	1
20	-6
21	9
22	6
23	-2
24	-12
25	-6
26	3
27	6
28	6
29	1
30	-7
31	14
32	7
33	-7
34	-21
35	-7
36	7
37	7
38	14
39	7
40	-7
41	-7
42	1
43	-8
44	20
45	8
46	-16
47	-32
48	-8
49	2
50	24
51	12
52	24
53	8
54	-8
55	-8
56	-16
57	-16
58	4
59	8
60	1
61	-9
62	27
63	9
64	-30
65	-45
66	-9
67	9
68	54
69	18
70	36
71	9
72	-9
73	-27
74	-27
75	-27
76	-27
77	3
78	18
79	9
80	9
81	18
82	-9
83	1
84	-10
85	35
86	10
87	-50
88	-60
89	-10
90	25
91	100
92	25
93	50
94	10
95	-2
96	-40
97	-60
98	-60
99	-40
100	-40
101	15
102	10
103	10
104	60
105	30
106	15
107	30
108	-10
109	-10
110	-20
111	-20
112	5

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	5
19	1
20	-6
21	9
22	6
23	-2
24	-12
25	-6
26	3
27	6
28	6
29	1
30	-7
31	14
32	7
33	-7
34	-21
35	-7
36	7
37	7
38	14
39	7
40	-7
41	-7
42	1
43	-8
44	20
45	8
46	-16
47	-32
48	-8
49	2
50	24
51	12
52	24
53	8
54	-8
55	-8
56	-16
57	-16
58	4
59	8
60	1
61	-9
62	27
63	9
64	-30
65	-45
66	-9
67	9
68	54
69	18
70	36
71	9
72	-9
73	-27
74	-27
75	-27
76	-27
77	3
78	18
79	9
80	9
81	18
82	-9
83	1
84	-10
85	35
86	10
87	-50
88	-60
89	-10
90	25
91	100
92	25
93	50
94	10
95	-2
96	-40
97	-60
98	-60
99	-40
100	-40
101	15
102	10
103	10
104	60
105	30
106	15
107	30
108	-10
109	-10
110	-20
111	-20
112	5

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	5
19	1
20	-6
21	9
22	6
23	-2
24	-12
25	-6
26	3
27	6
28	6
29	1
30	-7
31	14
32	7
33	-7
34	-21
35	-7
36	7
37	7
38	14
39	7
40	-7
41	-7
42	1
43	-8
44	20
45	8
46	-16
47	-32
48	-8
49	2
50	24
51	12
52	24
53	8
54	-8
55	-8
56	-16
57	-16
58	4
59	8
60	1
61	-9
62	27
63	9
64	-30
65	-45
66	-9
67	9
68	54
69	18
70	36
71	9
72	-9
73	-27
74	-27
75	-27
76	-27
77	3
78	18
79	9
80	9
81	18
82	-9
83	1
84	-10
85	35
86	10
87	-50
88	-60
89	-10
90	25
91	100
92	25
93	50
94	10
95	-2
96	-40
97	-60
98	-60
99	-40
100	-40
101	15
102	10
103	10
104	60
105	30
106	15
107	30
108	-10
109	-10
110	-20
111	-20
112	5