A215520 - cp's OEIS frontend

A215520 Number T(n,k) of distinct values of multinomial coefficients M(n;lambda), where lambda ranges over all partitions of n with largest part <= k; triangle T(n,k), n>=1, 1<=k<=n, read by rows.

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	1
8	3
9	4
10	5
11	1
12	3
13	5
14	6
15	7
16	1
17	4
18	7
19	9
20	10
21	11
22	1
23	4
24	8
25	10
26	12
27	13
28	14
29	1
30	5
31	10
32	14
33	17
34	18
35	19
36	20
37	1
38	5
39	12
40	16
41	21
42	23
43	25
44	26
45	27
46	1
47	6
48	14
49	20
50	27
51	29
52	32
53	34
54	35
55	36
56	1
57	6
58	16
59	22
60	32
61	35
62	40
63	43
64	45
65	46
66	47
67	1
68	7
69	19
70	28
71	40
72	45
73	52
74	57
75	60
76	62
77	63
78	64

[1, 1, 2, 1, 2, 3, 1, 3, 4, 5, 1, 3, 5, 6, 7, 1, 4, 7, 9, 10, 11, 1, 4, 8, 10, 12, 13, 14, 1, 5, 10, 14, 17, 18, 19, 20, 1, 5, 12, 16, 21, 23, 25, 26, 27, 1, 6, 14, 20, 27, 29, 32, 34, 35, 36, 1, 6, 16, 22, 32, 35, 40, 43, 45, 46, 47, 1, 7, 19, 28, 40, 45, 52, 57, 60, 62, 63, 64]

cp's OEIS Frontend

A215520 Number T(n,k) of distinct values of multinomial coefficients M(n;lambda), where lambda ranges over all partitions of n with largest part <= k; triangle T(n,k), n>=1, 1<=k<=n, read by rows.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	1
8	3
9	4
10	5
11	1
12	3
13	5
14	6
15	7
16	1
17	4
18	7
19	9
20	10
21	11
22	1
23	4
24	8
25	10
26	12
27	13
28	14
29	1
30	5
31	10
32	14
33	17
34	18
35	19
36	20
37	1
38	5
39	12
40	16
41	21
42	23
43	25
44	26
45	27
46	1
47	6
48	14
49	20
50	27
51	29
52	32
53	34
54	35
55	36
56	1
57	6
58	16
59	22
60	32
61	35
62	40
63	43
64	45
65	46
66	47
67	1
68	7
69	19
70	28
71	40
72	45
73	52
74	57
75	60
76	62
77	63
78	64

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	1
8	3
9	4
10	5
11	1
12	3
13	5
14	6
15	7
16	1
17	4
18	7
19	9
20	10
21	11
22	1
23	4
24	8
25	10
26	12
27	13
28	14
29	1
30	5
31	10
32	14
33	17
34	18
35	19
36	20
37	1
38	5
39	12
40	16
41	21
42	23
43	25
44	26
45	27
46	1
47	6
48	14
49	20
50	27
51	29
52	32
53	34
54	35
55	36
56	1
57	6
58	16
59	22
60	32
61	35
62	40
63	43
64	45
65	46
66	47
67	1
68	7
69	19
70	28
71	40
72	45
73	52
74	57
75	60
76	62
77	63
78	64

n	a(n)
1	1
2	1
3	2
4	1
5	2
6	3
7	1
8	3
9	4
10	5
11	1
12	3
13	5
14	6
15	7
16	1
17	4
18	7
19	9
20	10
21	11
22	1
23	4
24	8
25	10
26	12
27	13
28	14
29	1
30	5
31	10
32	14
33	17
34	18
35	19
36	20
37	1
38	5
39	12
40	16
41	21
42	23
43	25
44	26
45	27
46	1
47	6
48	14
49	20
50	27
51	29
52	32
53	34
54	35
55	36
56	1
57	6
58	16
59	22
60	32
61	35
62	40
63	43
64	45
65	46
66	47
67	1
68	7
69	19
70	28
71	40
72	45
73	52
74	57
75	60
76	62
77	63
78	64