A330415 - cp's OEIS frontend

A330415 Coefficient of h(y) in Sum_{k > 0, i > 0} x_i^k = p(1) + p(2) + p(3) + ..., where h is the basis of homogeneous symmetric functions, p is the basis of power-sum symmetric functions, and y is the integer partition with Heinz number n.

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

[0, 1, 2, -1, 3, -3, 4, 1, -2, -4, 5, 4, 6, -5, -5, -1, 7, 5, 8, 5, -6, -6, 9, -5, -3, -7, 2, 6, 10, 12, 11, 1, -7, -8, -7, -9, 12, -9, -8, -6, 13, 14, 14, 7, 7, -10, 15, 6, -4, 7, -9, 8, 16, -7, -8, -7, -10, -11, 17, -21, 18, -12, 8, -1, -9, 16, 19, 9, -11, 16]

cp's OEIS Frontend

A330415 Coefficient of h(y) in Sum_{k > 0, i > 0} x_i^k = p(1) + p(2) + p(3) + ..., where h is the basis of homogeneous symmetric functions, p is the basis of power-sum symmetric functions, and y is the integer partition with Heinz number n.

Table of values

List of values

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

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

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