A309992 - cp's OEIS frontend

A309992 Triangle T(n,k) whose n-th row lists in increasing order the multinomial coefficients M(n;lambda), where lambda ranges over all partitions of n into distinct parts; n >= 0, 1 <= k <= A000009(n), read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	4
7	1
8	5
9	10
10	1
11	6
12	15
13	60
14	1
15	7
16	21
17	35
18	105
19	1
20	8
21	28
22	56
23	168
24	280
25	1
26	9
27	36
28	84
29	126
30	252
31	504
32	1260
33	1
34	10
35	45
36	120
37	210
38	360
39	840
40	1260
41	2520
42	12600
43	1
44	11
45	55
46	165
47	330
48	462
49	495
50	1320
51	2310
52	4620
53	6930
54	27720

[1, 1, 1, 1, 3, 1, 4, 1, 5, 10, 1, 6, 15, 60, 1, 7, 21, 35, 105, 1, 8, 28, 56, 168, 280, 1, 9, 36, 84, 126, 252, 504, 1260, 1, 10, 45, 120, 210, 360, 840, 1260, 2520, 12600, 1, 11, 55, 165, 330, 462, 495, 1320, 2310, 4620, 6930, 27720]

cp's OEIS Frontend

A309992 Triangle T(n,k) whose n-th row lists in increasing order the multinomial coefficients M(n;lambda), where lambda ranges over all partitions of n into distinct parts; n >= 0, 1 <= k <= A000009(n), read by rows.

Table of values

List of values