A324253 - cp's OEIS frontend

A324253 Partition array giving in row n, for n >= 1, the coefficients of the Witt symmetric function w_n, multiplied by n!, in terms of the power sum symmetric functions (using partitions in the Abramowitz-Stegun order).

n	a(n)
1	1
2	1
3	-1
4	-2
5	0
6	-2
7	6
8	0
9	-3
10	6
11	-9
12	24
13	0
14	0
15	0
16	0
17	0
18	-24
19	120
20	0
21	0
22	-40
23	0
24	0
25	-30
26	80
27	90
28	-90
29	-130
30	720
31	0
32	0
33	0
34	0
35	0
36	0
37	0
38	0
39	0
40	0
41	0
42	0
43	0
44	-720
45	5040
46	0
47	0
48	0
49	-1260
50	0
51	0
52	0
53	1260
54	0
55	0
56	2520
57	3780
58	0
59	-945
60	3780
61	0
62	0
63	0
64	-6930
65	6300
66	-8505

[1, 1, -1, -2, 0, -2, 6, 0, -3, 6, -9, 24, 0, 0, 0, 0, 0, -24, 120, 0, 0, -40, 0, 0, -30, 80, 90, -90, -130, 720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -720, 5040, 0, 0, 0, -1260, 0, 0, 0, 1260, 0, 0, 2520, 3780, 0, -945, 3780, 0, 0, 0, -6930, 6300, -8505]

cp's OEIS Frontend

A324253 Partition array giving in row n, for n >= 1, the coefficients of the Witt symmetric function w_n, multiplied by n!, in terms of the power sum symmetric functions (using partitions in the Abramowitz-Stegun order).

Table of values

List of values