A376369 - cp's OEIS frontend

A376369 Number of nondecreasing tuples (x_1, ..., x_k) of positive integers (or integer partitions) such that the multinomial coefficient (x_1 + ... + x_k)!/(x_1! * ... * x_k!) equals n.

n	a(n)
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	1
10	2
11	1
12	2
13	1
14	1
15	2
16	1
17	1
18	1
19	1
20	3
21	2
22	1
23	1
24	2
25	1
26	1
27	1
28	2
29	1
30	3
31	1
32	1
33	1
34	1
35	2
36	2
37	1
38	1
39	1
40	1
41	1
42	2
43	1
44	1
45	2
46	1
47	1
48	1
49	1
50	1
51	1
52	1
53	1
54	1
55	2
56	3
57	1
58	1
59	1
60	3
61	1
62	1
63	1
64	1
65	1
66	2
67	1
68	1
69	1
70	2
71	1
72	2
73	1
74	1
75	1
76	1
77	1
78	2
79	1
80	1
81	1
82	1
83	1
84	2
85	1
86	1
87	1
88	1
89	1
90	3
91	2
92	1
93	1
94	1
95	1
96	1
97	1
98	1
99	1
100	1

[1, 1, 1, 1, 3, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 3, 2, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1]

cp's OEIS Frontend

A376369 Number of nondecreasing tuples (x_1, ..., x_k) of positive integers (or integer partitions) such that the multinomial coefficient (x_1 + ... + x_k)!/(x_1! * ... * x_k!) equals n.

Table of values

List of values

n	a(n)
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	1
10	2
11	1
12	2
13	1
14	1
15	2
16	1
17	1
18	1
19	1
20	3
21	2
22	1
23	1
24	2
25	1
26	1
27	1
28	2
29	1
30	3
31	1
32	1
33	1
34	1
35	2
36	2
37	1
38	1
39	1
40	1
41	1
42	2
43	1
44	1
45	2
46	1
47	1
48	1
49	1
50	1
51	1
52	1
53	1
54	1
55	2
56	3
57	1
58	1
59	1
60	3
61	1
62	1
63	1
64	1
65	1
66	2
67	1
68	1
69	1
70	2
71	1
72	2
73	1
74	1
75	1
76	1
77	1
78	2
79	1
80	1
81	1
82	1
83	1
84	2
85	1
86	1
87	1
88	1
89	1
90	3
91	2
92	1
93	1
94	1
95	1
96	1
97	1
98	1
99	1
100	1

n	a(n)
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	1
10	2
11	1
12	2
13	1
14	1
15	2
16	1
17	1
18	1
19	1
20	3
21	2
22	1
23	1
24	2
25	1
26	1
27	1
28	2
29	1
30	3
31	1
32	1
33	1
34	1
35	2
36	2
37	1
38	1
39	1
40	1
41	1
42	2
43	1
44	1
45	2
46	1
47	1
48	1
49	1
50	1
51	1
52	1
53	1
54	1
55	2
56	3
57	1
58	1
59	1
60	3
61	1
62	1
63	1
64	1
65	1
66	2
67	1
68	1
69	1
70	2
71	1
72	2
73	1
74	1
75	1
76	1
77	1
78	2
79	1
80	1
81	1
82	1
83	1
84	2
85	1
86	1
87	1
88	1
89	1
90	3
91	2
92	1
93	1
94	1
95	1
96	1
97	1
98	1
99	1
100	1

n	a(n)
2	1
3	1
4	1
5	1
6	3
7	1
8	1
9	1
10	2
11	1
12	2
13	1
14	1
15	2
16	1
17	1
18	1
19	1
20	3
21	2
22	1
23	1
24	2
25	1
26	1
27	1
28	2
29	1
30	3
31	1
32	1
33	1
34	1
35	2
36	2
37	1
38	1
39	1
40	1
41	1
42	2
43	1
44	1
45	2
46	1
47	1
48	1
49	1
50	1
51	1
52	1
53	1
54	1
55	2
56	3
57	1
58	1
59	1
60	3
61	1
62	1
63	1
64	1
65	1
66	2
67	1
68	1
69	1
70	2
71	1
72	2
73	1
74	1
75	1
76	1
77	1
78	2
79	1
80	1
81	1
82	1
83	1
84	2
85	1
86	1
87	1
88	1
89	1
90	3
91	2
92	1
93	1
94	1
95	1
96	1
97	1
98	1
99	1
100	1