A321933 - cp's OEIS frontend

A321933 Tetrangle where T(n,H(u),H(v)) is the coefficient of p(v) in h(u) * Product_i u_i!, where u and v are integer partitions of n, H is Heinz number, p is power sum symmetric functions, and h is homogeneous symmetric functions.

n	a(n)
1	1
2	1
3	1
4	0
5	1
6	2
7	3
8	1
9	0
10	1
11	1
12	0
13	0
14	1
15	6
16	3
17	8
18	6
19	1
20	0
21	1
22	0
23	2
24	1
25	0
26	0
27	2
28	3
29	1
30	0
31	0
32	0
33	1
34	1
35	0
36	0
37	0
38	0
39	1
40	24
41	30
42	20
43	15
44	20
45	10
46	1
47	0
48	6
49	0
50	3
51	8
52	6
53	1
54	0
55	0
56	2
57	3
58	2
59	4
60	1
61	0
62	0
63	0
64	1
65	0
66	2
67	1
68	0
69	0
70	0
71	0
72	2
73	3
74	1
75	0
76	0
77	0
78	0
79	0
80	1
81	1
82	0
83	0
84	0
85	0

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

cp's OEIS Frontend

A321933 Tetrangle where T(n,H(u),H(v)) is the coefficient of p(v) in h(u) * Product_i u_i!, where u and v are integer partitions of n, H is Heinz number, p is power sum symmetric functions, and h is homogeneous symmetric functions.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	0
5	1
6	2
7	3
8	1
9	0
10	1
11	1
12	0
13	0
14	1
15	6
16	3
17	8
18	6
19	1
20	0
21	1
22	0
23	2
24	1
25	0
26	0
27	2
28	3
29	1
30	0
31	0
32	0
33	1
34	1
35	0
36	0
37	0
38	0
39	1
40	24
41	30
42	20
43	15
44	20
45	10
46	1
47	0
48	6
49	0
50	3
51	8
52	6
53	1
54	0
55	0
56	2
57	3
58	2
59	4
60	1
61	0
62	0
63	0
64	1
65	0
66	2
67	1
68	0
69	0
70	0
71	0
72	2
73	3
74	1
75	0
76	0
77	0
78	0
79	0
80	1
81	1
82	0
83	0
84	0
85	0

n	a(n)
1	1
2	1
3	1
4	0
5	1
6	2
7	3
8	1
9	0
10	1
11	1
12	0
13	0
14	1
15	6
16	3
17	8
18	6
19	1
20	0
21	1
22	0
23	2
24	1
25	0
26	0
27	2
28	3
29	1
30	0
31	0
32	0
33	1
34	1
35	0
36	0
37	0
38	0
39	1
40	24
41	30
42	20
43	15
44	20
45	10
46	1
47	0
48	6
49	0
50	3
51	8
52	6
53	1
54	0
55	0
56	2
57	3
58	2
59	4
60	1
61	0
62	0
63	0
64	1
65	0
66	2
67	1
68	0
69	0
70	0
71	0
72	2
73	3
74	1
75	0
76	0
77	0
78	0
79	0
80	1
81	1
82	0
83	0
84	0
85	0

n	a(n)
1	1
2	1
3	1
4	0
5	1
6	2
7	3
8	1
9	0
10	1
11	1
12	0
13	0
14	1
15	6
16	3
17	8
18	6
19	1
20	0
21	1
22	0
23	2
24	1
25	0
26	0
27	2
28	3
29	1
30	0
31	0
32	0
33	1
34	1
35	0
36	0
37	0
38	0
39	1
40	24
41	30
42	20
43	15
44	20
45	10
46	1
47	0
48	6
49	0
50	3
51	8
52	6
53	1
54	0
55	0
56	2
57	3
58	2
59	4
60	1
61	0
62	0
63	0
64	1
65	0
66	2
67	1
68	0
69	0
70	0
71	0
72	2
73	3
74	1
75	0
76	0
77	0
78	0
79	0
80	1
81	1
82	0
83	0
84	0
85	0