A365383 - cp's OEIS frontend

A365383 Triangle read by rows where T(n,k) is the number of integer partitions of n that can be linearly combined with nonnegative coefficients to obtain k.

n	a(n)
0	1
1	2
2	1
3	3
4	2
5	2
6	5
7	3
8	4
9	3
10	7
11	5
12	6
13	6
14	6
15	11
16	7
17	9
18	8
19	9
20	7
21	15
22	11
23	13
24	13
25	14
26	13
27	14
28	22
29	15
30	19
31	17
32	20
33	17
34	20
35	16
36	30
37	22
38	26
39	26
40	27
41	26
42	28
43	26
44	27
45	42
46	30
47	37
48	34
49	39
50	33
51	40
52	34
53	39
54	34
55	56
56	42
57	50
58	49
59	52
60	50
61	54
62	51
63	54
64	53
65	53

[1, 2, 1, 3, 2, 2, 5, 3, 4, 3, 7, 5, 6, 6, 6, 11, 7, 9, 8, 9, 7, 15, 11, 13, 13, 14, 13, 14, 22, 15, 19, 17, 20, 17, 20, 16, 30, 22, 26, 26, 27, 26, 28, 26, 27, 42, 30, 37, 34, 39, 33, 40, 34, 39, 34, 56, 42, 50, 49, 52, 50, 54, 51, 54, 53, 53]

cp's OEIS Frontend

A365383 Triangle read by rows where T(n,k) is the number of integer partitions of n that can be linearly combined with nonnegative coefficients to obtain k.

Table of values

List of values

n	a(n)
0	1
1	2
2	1
3	3
4	2
5	2
6	5
7	3
8	4
9	3
10	7
11	5
12	6
13	6
14	6
15	11
16	7
17	9
18	8
19	9
20	7
21	15
22	11
23	13
24	13
25	14
26	13
27	14
28	22
29	15
30	19
31	17
32	20
33	17
34	20
35	16
36	30
37	22
38	26
39	26
40	27
41	26
42	28
43	26
44	27
45	42
46	30
47	37
48	34
49	39
50	33
51	40
52	34
53	39
54	34
55	56
56	42
57	50
58	49
59	52
60	50
61	54
62	51
63	54
64	53
65	53

n	a(n)
0	1
1	2
2	1
3	3
4	2
5	2
6	5
7	3
8	4
9	3
10	7
11	5
12	6
13	6
14	6
15	11
16	7
17	9
18	8
19	9
20	7
21	15
22	11
23	13
24	13
25	14
26	13
27	14
28	22
29	15
30	19
31	17
32	20
33	17
34	20
35	16
36	30
37	22
38	26
39	26
40	27
41	26
42	28
43	26
44	27
45	42
46	30
47	37
48	34
49	39
50	33
51	40
52	34
53	39
54	34
55	56
56	42
57	50
58	49
59	52
60	50
61	54
62	51
63	54
64	53
65	53

n	a(n)
0	1
1	2
2	1
3	3
4	2
5	2
6	5
7	3
8	4
9	3
10	7
11	5
12	6
13	6
14	6
15	11
16	7
17	9
18	8
19	9
20	7
21	15
22	11
23	13
24	13
25	14
26	13
27	14
28	22
29	15
30	19
31	17
32	20
33	17
34	20
35	16
36	30
37	22
38	26
39	26
40	27
41	26
42	28
43	26
44	27
45	42
46	30
47	37
48	34
49	39
50	33
51	40
52	34
53	39
54	34
55	56
56	42
57	50
58	49
59	52
60	50
61	54
62	51
63	54
64	53
65	53