A101391 - cp's OEIS frontend

A101391 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_1,x_2,...,x_k) = 1 (1<=k<=n).

n	a(n)
1	1
2	0
3	1
4	0
5	2
6	1
7	0
8	2
9	3
10	1
11	0
12	4
13	6
14	4
15	1
16	0
17	2
18	9
19	10
20	5
21	1
22	0
23	6
24	15
25	20
26	15
27	6
28	1
29	0
30	4
31	18
32	34
33	35
34	21
35	7
36	1
37	0
38	6
39	27
40	56
41	70
42	56
43	28
44	8
45	1
46	0
47	4
48	30
49	80
50	125
51	126
52	84
53	36
54	9
55	1
56	0
57	10
58	45
59	120
60	210
61	252
62	210
63	120
64	45
65	10
66	1
67	0
68	4
69	42
70	154
71	325
72	461
73	462
74	330
75	165
76	55
77	11
78	1
79	0
80	12
81	66
82	220
83	495
84	792
85	924
86	792
87	495
88	220
89	66
90	12
91	1

[1, 0, 1, 0, 2, 1, 0, 2, 3, 1, 0, 4, 6, 4, 1, 0, 2, 9, 10, 5, 1, 0, 6, 15, 20, 15, 6, 1, 0, 4, 18, 34, 35, 21, 7, 1, 0, 6, 27, 56, 70, 56, 28, 8, 1, 0, 4, 30, 80, 125, 126, 84, 36, 9, 1, 0, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1, 0, 4, 42, 154, 325, 461, 462, 330, 165, 55, 11, 1, 0, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1]

cp's OEIS Frontend

A101391 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_1,x_2,...,x_k) = 1 (1<=k<=n).

Table of values

List of values

n	a(n)
1	1
2	0
3	1
4	0
5	2
6	1
7	0
8	2
9	3
10	1
11	0
12	4
13	6
14	4
15	1
16	0
17	2
18	9
19	10
20	5
21	1
22	0
23	6
24	15
25	20
26	15
27	6
28	1
29	0
30	4
31	18
32	34
33	35
34	21
35	7
36	1
37	0
38	6
39	27
40	56
41	70
42	56
43	28
44	8
45	1
46	0
47	4
48	30
49	80
50	125
51	126
52	84
53	36
54	9
55	1
56	0
57	10
58	45
59	120
60	210
61	252
62	210
63	120
64	45
65	10
66	1
67	0
68	4
69	42
70	154
71	325
72	461
73	462
74	330
75	165
76	55
77	11
78	1
79	0
80	12
81	66
82	220
83	495
84	792
85	924
86	792
87	495
88	220
89	66
90	12
91	1

n	a(n)
1	1
2	0
3	1
4	0
5	2
6	1
7	0
8	2
9	3
10	1
11	0
12	4
13	6
14	4
15	1
16	0
17	2
18	9
19	10
20	5
21	1
22	0
23	6
24	15
25	20
26	15
27	6
28	1
29	0
30	4
31	18
32	34
33	35
34	21
35	7
36	1
37	0
38	6
39	27
40	56
41	70
42	56
43	28
44	8
45	1
46	0
47	4
48	30
49	80
50	125
51	126
52	84
53	36
54	9
55	1
56	0
57	10
58	45
59	120
60	210
61	252
62	210
63	120
64	45
65	10
66	1
67	0
68	4
69	42
70	154
71	325
72	461
73	462
74	330
75	165
76	55
77	11
78	1
79	0
80	12
81	66
82	220
83	495
84	792
85	924
86	792
87	495
88	220
89	66
90	12
91	1

n	a(n)
1	1
2	0
3	1
4	0
5	2
6	1
7	0
8	2
9	3
10	1
11	0
12	4
13	6
14	4
15	1
16	0
17	2
18	9
19	10
20	5
21	1
22	0
23	6
24	15
25	20
26	15
27	6
28	1
29	0
30	4
31	18
32	34
33	35
34	21
35	7
36	1
37	0
38	6
39	27
40	56
41	70
42	56
43	28
44	8
45	1
46	0
47	4
48	30
49	80
50	125
51	126
52	84
53	36
54	9
55	1
56	0
57	10
58	45
59	120
60	210
61	252
62	210
63	120
64	45
65	10
66	1
67	0
68	4
69	42
70	154
71	325
72	461
73	462
74	330
75	165
76	55
77	11
78	1
79	0
80	12
81	66
82	220
83	495
84	792
85	924
86	792
87	495
88	220
89	66
90	12
91	1