A121303 - cp's OEIS frontend

A121303 Triangle read by rows: T(n,k) is the number of compositions of n into k primes (i.e., ordered sequences of k primes having sum n; n>=2, k>=1).

n	a(n)
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	1
12	2
13	3
14	0
15	2
16	3
17	1
18	0
19	2
20	4
21	4
22	0
23	3
24	6
25	6
26	1
27	1
28	0
29	6
30	8
31	5
32	0
33	2
34	9
35	13
36	10
37	1
38	1
39	2
40	6
41	16
42	15
43	6
44	0
45	3
46	6
47	22
48	25
49	15
50	1
51	0
52	2
53	10
54	24
55	36
56	26
57	7
58	0
59	4
60	9
61	22
62	50
63	45
64	21
65	1
66	1
67	0
68	12
69	32
70	65
71	72
72	42
73	8
74	0
75	4
76	12
77	34
78	70
79	106
80	77
81	28
82	1
83	1
84	2
85	12
86	40
87	90
88	150

[1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 3, 0, 2, 3, 1, 0, 2, 4, 4, 0, 3, 6, 6, 1, 1, 0, 6, 8, 5, 0, 2, 9, 13, 10, 1, 1, 2, 6, 16, 15, 6, 0, 3, 6, 22, 25, 15, 1, 0, 2, 10, 24, 36, 26, 7, 0, 4, 9, 22, 50, 45, 21, 1, 1, 0, 12, 32, 65, 72, 42, 8, 0, 4, 12, 34, 70, 106, 77, 28, 1, 1, 2, 12, 40, 90, 150]

cp's OEIS Frontend

A121303 Triangle read by rows: T(n,k) is the number of compositions of n into k primes (i.e., ordered sequences of k primes having sum n; n>=2, k>=1).

Table of values

List of values

n	a(n)
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	1
12	2
13	3
14	0
15	2
16	3
17	1
18	0
19	2
20	4
21	4
22	0
23	3
24	6
25	6
26	1
27	1
28	0
29	6
30	8
31	5
32	0
33	2
34	9
35	13
36	10
37	1
38	1
39	2
40	6
41	16
42	15
43	6
44	0
45	3
46	6
47	22
48	25
49	15
50	1
51	0
52	2
53	10
54	24
55	36
56	26
57	7
58	0
59	4
60	9
61	22
62	50
63	45
64	21
65	1
66	1
67	0
68	12
69	32
70	65
71	72
72	42
73	8
74	0
75	4
76	12
77	34
78	70
79	106
80	77
81	28
82	1
83	1
84	2
85	12
86	40
87	90
88	150

n	a(n)
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	1
12	2
13	3
14	0
15	2
16	3
17	1
18	0
19	2
20	4
21	4
22	0
23	3
24	6
25	6
26	1
27	1
28	0
29	6
30	8
31	5
32	0
33	2
34	9
35	13
36	10
37	1
38	1
39	2
40	6
41	16
42	15
43	6
44	0
45	3
46	6
47	22
48	25
49	15
50	1
51	0
52	2
53	10
54	24
55	36
56	26
57	7
58	0
59	4
60	9
61	22
62	50
63	45
64	21
65	1
66	1
67	0
68	12
69	32
70	65
71	72
72	42
73	8
74	0
75	4
76	12
77	34
78	70
79	106
80	77
81	28
82	1
83	1
84	2
85	12
86	40
87	90
88	150

n	a(n)
2	1
3	1
4	0
5	1
6	1
7	2
8	0
9	1
10	1
11	1
12	2
13	3
14	0
15	2
16	3
17	1
18	0
19	2
20	4
21	4
22	0
23	3
24	6
25	6
26	1
27	1
28	0
29	6
30	8
31	5
32	0
33	2
34	9
35	13
36	10
37	1
38	1
39	2
40	6
41	16
42	15
43	6
44	0
45	3
46	6
47	22
48	25
49	15
50	1
51	0
52	2
53	10
54	24
55	36
56	26
57	7
58	0
59	4
60	9
61	22
62	50
63	45
64	21
65	1
66	1
67	0
68	12
69	32
70	65
71	72
72	42
73	8
74	0
75	4
76	12
77	34
78	70
79	106
80	77
81	28
82	1
83	1
84	2
85	12
86	40
87	90
88	150