A321915 - cp's OEIS frontend

A321915 Tetrangle where T(n,H(u),H(v)) is the coefficient of h(v) in m(u), where u and v are integer partitions of n, H is Heinz number, m is monomial symmetric functions, and h is homogeneous symmetric functions.

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

[1, 2, -1, -1, 1, 3, -3, 1, -3, 5, -2, 1, -2, 1, 4, -2, -4, 4, -1, -2, 3, 2, -4, 1, -4, 2, 7, -7, 2, 4, -4, -7, 10, -3, -1, 1, 2, -3, 1, 5, -5, -5, 5, 5, -5, 1, -5, 9, 5, -7, -9, 9, -2, -5, 5, 11, -11, -8, 10, -2, 5, -7, -11, 14, 10, -14, 3, 5, -9, -8, 10, 12]

cp's OEIS Frontend

A321915 Tetrangle where T(n,H(u),H(v)) is the coefficient of h(v) in m(u), where u and v are integer partitions of n, H is Heinz number, m is monomial symmetric functions, and h is homogeneous symmetric functions.

Table of values

List of values

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

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

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