A321935 - cp's OEIS frontend

A321935 Tetrangle: T(n,H(u),H(v)) is the coefficient of p(v) in S(u), where u and v are integer partitions of n, H is Heinz number, p is the basis of power sum symmetric functions, and S is the basis of augmented Schur functions.

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

[1, 1, 1, -1, 1, 2, 3, 1, -1, 0, 1, 2, -3, 1, 6, 3, 8, 6, 1, 0, 3, -4, 0, 1, -2, -1, 0, 2, 1, 2, -1, 0, -2, 1, -6, 3, 8, -6, 1, 24, 30, 20, 15, 20, 10, 1, -6, 0, -5, 0, 5, 5, 1, 0, -6, 4, 3, -4, 2, 1, 0, 6, -4, 3, -4, -2, 1, 4, 0, 0, -5, 0, 0, 1, -6, 0, 5, 0, 5]

cp's OEIS Frontend

A321935 Tetrangle: T(n,H(u),H(v)) is the coefficient of p(v) in S(u), where u and v are integer partitions of n, H is Heinz number, p is the basis of power sum symmetric functions, and S is the basis of augmented Schur functions.

Table of values

List of values

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

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

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