A111786 - cp's OEIS frontend

A111786 Array used to obtain the complete symmetric function in n variables in terms of the elementary symmetric functions; irregular triangle T(n,k), read by rows, with n >= 1 and 1 <= k <= A000041(n).

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

[1, -1, 1, 1, -2, 1, -1, 2, 1, -3, 1, 1, -2, -2, 3, 3, -4, 1, -1, 2, 2, 1, -3, -6, -1, 4, 6, -5, 1, 1, -2, -2, -2, 3, 6, 3, 3, -4, -12, -4, 5, 10, -6, 1, -1, 2, 2, 2, 1, -3, -6, -6, -3, -3, 4, 12, 6, 12, 1, -5, -20, -10, 6, 15, -7, 1, 1, -2, -2, -2, -2, 3, 6, 6, 3, 3, 6, 1, -4, -12, -12, -12, -12, -4, 5, 20, 10, 30, 5, -6, -30, -20, 7, 21, -8, 1, -1]

cp's OEIS Frontend

A111786 Array used to obtain the complete symmetric function in n variables in terms of the elementary symmetric functions; irregular triangle T(n,k), read by rows, with n >= 1 and 1 <= k <= A000041(n).

Table of values

List of values

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

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

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