A282748 - cp's OEIS frontend

A282748 Triangle read by rows: T(n,k) is the number of compositions of n into k parts x_1, x_2, ..., x_k such that gcd(x_i, x_j) = 1 for all i != j (where 1 <= k <= n).

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	4
13	3
14	4
15	1
16	1
17	2
18	9
19	4
20	5
21	1
22	1
23	6
24	3
25	16
26	5
27	6
28	1
29	1
30	4
31	15
32	4
33	25
34	6
35	7
36	1
37	1
38	6
39	9
40	28
41	5
42	36
43	7
44	8
45	1
46	1
47	4
48	21
49	16
50	45
51	6
52	49
53	8
54	9
55	1
56	1
57	10
58	9
59	52
60	25
61	66
62	7
63	64
64	9
65	10
66	1
67	1
68	4
69	39
70	16
71	105
72	36
73	91
74	8
75	81
76	10
77	11
78	1
79	1
80	12
81	9
82	100
83	25
84	186
85	49
86	120
87	9
88	100
89	11
90	12
91	1
92	1
93	6
94	45
95	16
96	205
97	36
98	301
99	64
100	153
101	10
102	121
103	12
104	13
105	1

[1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 4, 3, 4, 1, 1, 2, 9, 4, 5, 1, 1, 6, 3, 16, 5, 6, 1, 1, 4, 15, 4, 25, 6, 7, 1, 1, 6, 9, 28, 5, 36, 7, 8, 1, 1, 4, 21, 16, 45, 6, 49, 8, 9, 1, 1, 10, 9, 52, 25, 66, 7, 64, 9, 10, 1, 1, 4, 39, 16, 105, 36, 91, 8, 81, 10, 11, 1, 1, 12, 9, 100, 25, 186, 49, 120, 9, 100, 11, 12, 1, 1, 6, 45, 16, 205, 36, 301, 64, 153, 10, 121, 12, 13, 1]

cp's OEIS Frontend

A282748 Triangle read by rows: T(n,k) is the number of compositions of n into k parts x_1, x_2, ..., x_k such that gcd(x_i, x_j) = 1 for all i != j (where 1 <= k <= n).

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	4
13	3
14	4
15	1
16	1
17	2
18	9
19	4
20	5
21	1
22	1
23	6
24	3
25	16
26	5
27	6
28	1
29	1
30	4
31	15
32	4
33	25
34	6
35	7
36	1
37	1
38	6
39	9
40	28
41	5
42	36
43	7
44	8
45	1
46	1
47	4
48	21
49	16
50	45
51	6
52	49
53	8
54	9
55	1
56	1
57	10
58	9
59	52
60	25
61	66
62	7
63	64
64	9
65	10
66	1
67	1
68	4
69	39
70	16
71	105
72	36
73	91
74	8
75	81
76	10
77	11
78	1
79	1
80	12
81	9
82	100
83	25
84	186
85	49
86	120
87	9
88	100
89	11
90	12
91	1
92	1
93	6
94	45
95	16
96	205
97	36
98	301
99	64
100	153
101	10
102	121
103	12
104	13
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	4
13	3
14	4
15	1
16	1
17	2
18	9
19	4
20	5
21	1
22	1
23	6
24	3
25	16
26	5
27	6
28	1
29	1
30	4
31	15
32	4
33	25
34	6
35	7
36	1
37	1
38	6
39	9
40	28
41	5
42	36
43	7
44	8
45	1
46	1
47	4
48	21
49	16
50	45
51	6
52	49
53	8
54	9
55	1
56	1
57	10
58	9
59	52
60	25
61	66
62	7
63	64
64	9
65	10
66	1
67	1
68	4
69	39
70	16
71	105
72	36
73	91
74	8
75	81
76	10
77	11
78	1
79	1
80	12
81	9
82	100
83	25
84	186
85	49
86	120
87	9
88	100
89	11
90	12
91	1
92	1
93	6
94	45
95	16
96	205
97	36
98	301
99	64
100	153
101	10
102	121
103	12
104	13
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	3
10	1
11	1
12	4
13	3
14	4
15	1
16	1
17	2
18	9
19	4
20	5
21	1
22	1
23	6
24	3
25	16
26	5
27	6
28	1
29	1
30	4
31	15
32	4
33	25
34	6
35	7
36	1
37	1
38	6
39	9
40	28
41	5
42	36
43	7
44	8
45	1
46	1
47	4
48	21
49	16
50	45
51	6
52	49
53	8
54	9
55	1
56	1
57	10
58	9
59	52
60	25
61	66
62	7
63	64
64	9
65	10
66	1
67	1
68	4
69	39
70	16
71	105
72	36
73	91
74	8
75	81
76	10
77	11
78	1
79	1
80	12
81	9
82	100
83	25
84	186
85	49
86	120
87	9
88	100
89	11
90	12
91	1
92	1
93	6
94	45
95	16
96	205
97	36
98	301
99	64
100	153
101	10
102	121
103	12
104	13
105	1