A047913 - cp's OEIS frontend

A047913 Triangle of numbers a(n,k) = number of partitions of k such that k = n + n_1 + n_2 + ... + n_t where n_1 <= 2n and n_{i+1} <= 2n_i for all i.

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	2
10	3
11	1
12	1
13	2
14	4
15	5
16	1
17	1
18	2
19	4
20	7
21	9
22	1
23	1
24	2
25	4
26	7
27	12
28	16
29	1
30	1
31	2
32	4
33	7
34	13
35	22
36	28
37	1
38	1
39	2
40	4
41	7
42	13
43	24
44	39
45	50
46	1
47	1
48	2
49	4
50	7
51	13
52	24
53	42
54	70
55	89
56	1
57	1
58	2
59	4
60	7
61	13
62	24
63	43
64	76
65	126
66	159
67	1
68	1
69	2
70	4
71	7
72	13
73	24
74	43
75	78
76	137
77	225
78	285

[1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 4, 5, 1, 1, 2, 4, 7, 9, 1, 1, 2, 4, 7, 12, 16, 1, 1, 2, 4, 7, 13, 22, 28, 1, 1, 2, 4, 7, 13, 24, 39, 50, 1, 1, 2, 4, 7, 13, 24, 42, 70, 89, 1, 1, 2, 4, 7, 13, 24, 43, 76, 126, 159, 1, 1, 2, 4, 7, 13, 24, 43, 78, 137, 225, 285]

cp's OEIS Frontend

A047913 Triangle of numbers a(n,k) = number of partitions of k such that k = n + n_1 + n_2 + ... + n_t where n_1 <= 2n and n_{i+1} <= 2n_i for all i.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	2
10	3
11	1
12	1
13	2
14	4
15	5
16	1
17	1
18	2
19	4
20	7
21	9
22	1
23	1
24	2
25	4
26	7
27	12
28	16
29	1
30	1
31	2
32	4
33	7
34	13
35	22
36	28
37	1
38	1
39	2
40	4
41	7
42	13
43	24
44	39
45	50
46	1
47	1
48	2
49	4
50	7
51	13
52	24
53	42
54	70
55	89
56	1
57	1
58	2
59	4
60	7
61	13
62	24
63	43
64	76
65	126
66	159
67	1
68	1
69	2
70	4
71	7
72	13
73	24
74	43
75	78
76	137
77	225
78	285

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	2
10	3
11	1
12	1
13	2
14	4
15	5
16	1
17	1
18	2
19	4
20	7
21	9
22	1
23	1
24	2
25	4
26	7
27	12
28	16
29	1
30	1
31	2
32	4
33	7
34	13
35	22
36	28
37	1
38	1
39	2
40	4
41	7
42	13
43	24
44	39
45	50
46	1
47	1
48	2
49	4
50	7
51	13
52	24
53	42
54	70
55	89
56	1
57	1
58	2
59	4
60	7
61	13
62	24
63	43
64	76
65	126
66	159
67	1
68	1
69	2
70	4
71	7
72	13
73	24
74	43
75	78
76	137
77	225
78	285

n	a(n)
1	1
2	1
3	1
4	1
5	1
6	2
7	1
8	1
9	2
10	3
11	1
12	1
13	2
14	4
15	5
16	1
17	1
18	2
19	4
20	7
21	9
22	1
23	1
24	2
25	4
26	7
27	12
28	16
29	1
30	1
31	2
32	4
33	7
34	13
35	22
36	28
37	1
38	1
39	2
40	4
41	7
42	13
43	24
44	39
45	50
46	1
47	1
48	2
49	4
50	7
51	13
52	24
53	42
54	70
55	89
56	1
57	1
58	2
59	4
60	7
61	13
62	24
63	43
64	76
65	126
66	159
67	1
68	1
69	2
70	4
71	7
72	13
73	24
74	43
75	78
76	137
77	225
78	285