A036039 - cp's OEIS frontend

A036039 Irregular triangle of multinomial coefficients of integer partitions read by rows (in Abramowitz and Stegun ordering) giving the coefficients of the cycle index polynomials for the symmetric groups S_n.

n	a(n)
1	1
2	1
3	1
4	2
5	3
6	1
7	6
8	8
9	3
10	6
11	1
12	24
13	30
14	20
15	20
16	15
17	10
18	1
19	120
20	144
21	90
22	40
23	90
24	120
25	15
26	40
27	45
28	15
29	1
30	720
31	840
32	504
33	420
34	504
35	630
36	280
37	210
38	210
39	420
40	105
41	70
42	105
43	21
44	1
45	5040
46	5760
47	3360
48	2688
49	1260
50	3360
51	4032
52	3360
53	1260
54	1120
55	1344
56	2520
57	1120
58	1680
59	105
60	420
61	1120
62	420
63	112
64	210
65	28
66	1

[1, 1, 1, 2, 3, 1, 6, 8, 3, 6, 1, 24, 30, 20, 20, 15, 10, 1, 120, 144, 90, 40, 90, 120, 15, 40, 45, 15, 1, 720, 840, 504, 420, 504, 630, 280, 210, 210, 420, 105, 70, 105, 21, 1, 5040, 5760, 3360, 2688, 1260, 3360, 4032, 3360, 1260, 1120, 1344, 2520, 1120, 1680, 105, 420, 1120, 420, 112, 210, 28, 1]

cp's OEIS Frontend

A036039 Irregular triangle of multinomial coefficients of integer partitions read by rows (in Abramowitz and Stegun ordering) giving the coefficients of the cycle index polynomials for the symmetric groups S_n.

Table of values

List of values