A321897 - cp's OEIS frontend

A321897 Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of p(v) in h(u) * Product_i u_i!, where H is Heinz number, h is homogeneous symmetric functions, and p is power sum symmetric functions.

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	2
8	3
9	1
10	0
11	1
12	1
13	6
14	3
15	8
16	6
17	1
18	0
19	0
20	1
21	0
22	1
23	0
24	2
25	1
26	0
27	0
28	2
29	3
30	1
31	24
32	30
33	20
34	15
35	20
36	10
37	1
38	0
39	0
40	0
41	1
42	1
43	120
44	90
45	144
46	40
47	15
48	90
49	120
50	45
51	40
52	15
53	1
54	0
55	6
56	0
57	3
58	8
59	6
60	1
61	0
62	0
63	2
64	3
65	2
66	4
67	1
68	0
69	0
70	0
71	0
72	1
73	720
74	840
75	504
76	420
77	630

[1, 1, 1, 1, 0, 1, 2, 3, 1, 0, 1, 1, 6, 3, 8, 6, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 3, 1, 24, 30, 20, 15, 20, 10, 1, 0, 0, 0, 1, 1, 120, 90, 144, 40, 15, 90, 120, 45, 40, 15, 1, 0, 6, 0, 3, 8, 6, 1, 0, 0, 2, 3, 2, 4, 1, 0, 0, 0, 0, 1, 720, 840, 504, 420, 630]

cp's OEIS Frontend

A321897 Irregular triangle read by rows where T(H(u),H(v)) is the coefficient of p(v) in h(u) * Product_i u_i!, where H is Heinz number, h is homogeneous symmetric functions, and p is power sum symmetric functions.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	2
8	3
9	1
10	0
11	1
12	1
13	6
14	3
15	8
16	6
17	1
18	0
19	0
20	1
21	0
22	1
23	0
24	2
25	1
26	0
27	0
28	2
29	3
30	1
31	24
32	30
33	20
34	15
35	20
36	10
37	1
38	0
39	0
40	0
41	1
42	1
43	120
44	90
45	144
46	40
47	15
48	90
49	120
50	45
51	40
52	15
53	1
54	0
55	6
56	0
57	3
58	8
59	6
60	1
61	0
62	0
63	2
64	3
65	2
66	4
67	1
68	0
69	0
70	0
71	0
72	1
73	720
74	840
75	504
76	420
77	630

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	2
8	3
9	1
10	0
11	1
12	1
13	6
14	3
15	8
16	6
17	1
18	0
19	0
20	1
21	0
22	1
23	0
24	2
25	1
26	0
27	0
28	2
29	3
30	1
31	24
32	30
33	20
34	15
35	20
36	10
37	1
38	0
39	0
40	0
41	1
42	1
43	120
44	90
45	144
46	40
47	15
48	90
49	120
50	45
51	40
52	15
53	1
54	0
55	6
56	0
57	3
58	8
59	6
60	1
61	0
62	0
63	2
64	3
65	2
66	4
67	1
68	0
69	0
70	0
71	0
72	1
73	720
74	840
75	504
76	420
77	630

n	a(n)
1	1
2	1
3	1
4	1
5	0
6	1
7	2
8	3
9	1
10	0
11	1
12	1
13	6
14	3
15	8
16	6
17	1
18	0
19	0
20	1
21	0
22	1
23	0
24	2
25	1
26	0
27	0
28	2
29	3
30	1
31	24
32	30
33	20
34	15
35	20
36	10
37	1
38	0
39	0
40	0
41	1
42	1
43	120
44	90
45	144
46	40
47	15
48	90
49	120
50	45
51	40
52	15
53	1
54	0
55	6
56	0
57	3
58	8
59	6
60	1
61	0
62	0
63	2
64	3
65	2
66	4
67	1
68	0
69	0
70	0
71	0
72	1
73	720
74	840
75	504
76	420
77	630