A319191 - cp's OEIS frontend

A319191 Coefficient of p(y) / A056239(n)! in Product_{i >= 1} (1 + x_i), where p is power-sum symmetric functions and y is the integer partition with Heinz number n.

n	a(n)
1	1
2	1
3	-1
4	1
5	2
6	-3
7	-6
8	1
9	3
10	8
11	24
12	-6
13	-120
14	-30
15	-20
16	1
17	720
18	15
19	-5040
20	20
21	90
22	144
23	40320
24	-10
25	40
26	-840
27	-15
28	-90
29	-362880
30	-120
31	3628800
32	1
33	-504
34	5760
35	-420
36	45
37	-39916800
38	-45360
39	3360
40	40
41	479001600
42	630
43	-6227020800
44	504
45	210
46	403200
47	87178291200

[1, 1, -1, 1, 2, -3, -6, 1, 3, 8, 24, -6, -120, -30, -20, 1, 720, 15, -5040, 20, 90, 144, 40320, -10, 40, -840, -15, -90, -362880, -120, 3628800, 1, -504, 5760, -420, 45, -39916800, -45360, 3360, 40, 479001600, 630, -6227020800, 504, 210, 403200, 87178291200]

cp's OEIS Frontend

A319191 Coefficient of p(y) / A056239(n)! in Product_{i >= 1} (1 + x_i), where p is power-sum symmetric functions and y is the integer partition with Heinz number n.

Table of values

List of values