A115131 - cp's OEIS frontend

A115131 Waring numbers for power sums functions in terms of elementary symmetric functions; irregular triangle T(n,k), read by rows, for n >= 1 and 1 <= k <= A000041(n).

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

[1, -2, 1, 3, -3, 1, -4, 4, 2, -4, 1, 5, -5, -5, 5, 5, -5, 1, -6, 6, 6, 3, -6, -12, -2, 6, 9, -6, 1, 7, -7, -7, -7, 7, 14, 7, 7, -7, -21, -7, 7, 14, -7, 1, -8, 8, 8, 8, 4, -8, -16, -16, -8, -8, 8, 24, 12, 24, 2, -8, -32, -16, 8, 20, -8, 1, 9, -9, -9, -9, -9, 9, 18, 18, 9, 9, 18, 3, -9, -27, -27, -27, -27, -9, 9, 36, 18, 54, 9, -9, -45, -30, 9, 27, -9, 1]

cp's OEIS Frontend

A115131 Waring numbers for power sums functions in terms of elementary symmetric functions; irregular triangle T(n,k), read by rows, for n >= 1 and 1 <= k <= A000041(n).

Table of values

List of values

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

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

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