A194621 - cp's OEIS frontend

A194621 Triangle T(n,k), n>=0, 0<=k<=n, read by rows: T(n,k) is the number of partitions of n in which any two parts differ by at most k.

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

[1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 5, 2, 5, 6, 7, 7, 7, 4, 6, 9, 10, 11, 11, 11, 2, 7, 10, 13, 14, 15, 15, 15, 4, 8, 14, 17, 20, 21, 22, 22, 22, 3, 9, 15, 22, 25, 28, 29, 30, 30, 30, 4, 10, 20, 27, 34, 37, 40, 41, 42, 42, 42, 2, 11, 21, 33, 41, 48, 51, 54, 55, 56, 56, 56]

cp's OEIS Frontend

A194621 Triangle T(n,k), n>=0, 0<=k<=n, read by rows: T(n,k) is the number of partitions of n in which any two parts differ by at most k.

Table of values

List of values

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

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

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