A321931 - cp's OEIS frontend

A321931 Tetrangle where T(n,H(u),H(v)) is the coefficient of p(v) in M(u), where u and v are integer partitions of n, H is Heinz number, p is power sum symmetric functions, and M is augmented monomial symmetric functions.

n	a(n)
1	1
2	1
3	0
4	-1
5	1
6	1
7	0
8	0
9	-1
10	1
11	0
12	2
13	-3
14	1
15	1
16	0
17	0
18	0
19	0
20	-1
21	1
22	0
23	0
24	0
25	-1
26	0
27	1
28	0
29	0
30	2
31	-1
32	-2
33	1
34	0
35	-6
36	3
37	8
38	-6
39	1
40	1
41	0
42	0
43	0
44	0
45	0
46	0
47	-1
48	1
49	0
50	0
51	0
52	0
53	0
54	-1
55	0
56	1
57	0
58	0
59	0
60	0
61	2
62	-1
63	-2
64	1
65	0
66	0
67	0
68	2
69	-2
70	-1
71	0
72	1
73	0
74	0
75	-6
76	6
77	5
78	-3
79	-3
80	1
81	0

[1, 1, 0, -1, 1, 1, 0, 0, -1, 1, 0, 2, -3, 1, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 1, 0, 0, 2, -1, -2, 1, 0, -6, 3, 8, -6, 1, 1, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 2, -1, -2, 1, 0, 0, 0, 2, -2, -1, 0, 1, 0, 0, -6, 6, 5, -3, -3, 1, 0]

cp's OEIS Frontend

A321931 Tetrangle where T(n,H(u),H(v)) is the coefficient of p(v) in M(u), where u and v are integer partitions of n, H is Heinz number, p is power sum symmetric functions, and M is augmented monomial symmetric functions.

Table of values

List of values

n	a(n)
1	1
2	1
3	0
4	-1
5	1
6	1
7	0
8	0
9	-1
10	1
11	0
12	2
13	-3
14	1
15	1
16	0
17	0
18	0
19	0
20	-1
21	1
22	0
23	0
24	0
25	-1
26	0
27	1
28	0
29	0
30	2
31	-1
32	-2
33	1
34	0
35	-6
36	3
37	8
38	-6
39	1
40	1
41	0
42	0
43	0
44	0
45	0
46	0
47	-1
48	1
49	0
50	0
51	0
52	0
53	0
54	-1
55	0
56	1
57	0
58	0
59	0
60	0
61	2
62	-1
63	-2
64	1
65	0
66	0
67	0
68	2
69	-2
70	-1
71	0
72	1
73	0
74	0
75	-6
76	6
77	5
78	-3
79	-3
80	1
81	0

n	a(n)
1	1
2	1
3	0
4	-1
5	1
6	1
7	0
8	0
9	-1
10	1
11	0
12	2
13	-3
14	1
15	1
16	0
17	0
18	0
19	0
20	-1
21	1
22	0
23	0
24	0
25	-1
26	0
27	1
28	0
29	0
30	2
31	-1
32	-2
33	1
34	0
35	-6
36	3
37	8
38	-6
39	1
40	1
41	0
42	0
43	0
44	0
45	0
46	0
47	-1
48	1
49	0
50	0
51	0
52	0
53	0
54	-1
55	0
56	1
57	0
58	0
59	0
60	0
61	2
62	-1
63	-2
64	1
65	0
66	0
67	0
68	2
69	-2
70	-1
71	0
72	1
73	0
74	0
75	-6
76	6
77	5
78	-3
79	-3
80	1
81	0

n	a(n)
1	1
2	1
3	0
4	-1
5	1
6	1
7	0
8	0
9	-1
10	1
11	0
12	2
13	-3
14	1
15	1
16	0
17	0
18	0
19	0
20	-1
21	1
22	0
23	0
24	0
25	-1
26	0
27	1
28	0
29	0
30	2
31	-1
32	-2
33	1
34	0
35	-6
36	3
37	8
38	-6
39	1
40	1
41	0
42	0
43	0
44	0
45	0
46	0
47	-1
48	1
49	0
50	0
51	0
52	0
53	0
54	-1
55	0
56	1
57	0
58	0
59	0
60	0
61	2
62	-1
63	-2
64	1
65	0
66	0
67	0
68	2
69	-2
70	-1
71	0
72	1
73	0
74	0
75	-6
76	6
77	5
78	-3
79	-3
80	1
81	0