A319192 - cp's OEIS frontend

A319192 Irregular triangle where T(n,k) is the coefficient of p(y) in n! * Sum_{i1 < ... < in} (x_i1 * ... * x_in), where p is power-sum symmetric functions and y is the integer partition with Heinz number A215366(n,k).

n	a(n)
1	1
2	-1
3	1
4	2
5	-3
6	1
7	-6
8	3
9	8
10	-6
11	1
12	24
13	-30
14	-20
15	15
16	20
17	-10
18	1
19	-120
20	90
21	144
22	40
23	-15
24	-90
25	-120
26	45
27	40
28	-15
29	1
30	720
31	-840
32	-504
33	-420
34	630
35	504
36	210
37	280
38	-105
39	-210
40	-420
41	105
42	70
43	-21
44	1
45	-5040
46	5760
47	3360
48	1260
49	-3360
50	2688
51	-1260
52	-4032
53	-3360
54	-1120

[1, -1, 1, 2, -3, 1, -6, 3, 8, -6, 1, 24, -30, -20, 15, 20, -10, 1, -120, 90, 144, 40, -15, -90, -120, 45, 40, -15, 1, 720, -840, -504, -420, 630, 504, 210, 280, -105, -210, -420, 105, 70, -21, 1, -5040, 5760, 3360, 1260, -3360, 2688, -1260, -4032, -3360, -1120]

cp's OEIS Frontend

A319192 Irregular triangle where T(n,k) is the coefficient of p(y) in n! * Sum_{i1 < ... < in} (x_i1 * ... * x_in), where p is power-sum symmetric functions and y is the integer partition with Heinz number A215366(n,k).

Table of values

List of values