A321932 - cp's OEIS frontend

A321932 Tetrangle where T(n,H(u),H(v)) is the coefficient of p(v) in e(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 e is elementary 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

[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]

cp's OEIS Frontend

A321932 Tetrangle where T(n,H(u),H(v)) is the coefficient of p(v) in e(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 e is elementary 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

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

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