A194543 - cp's OEIS frontend

A194543 Triangle T(n,k), n>=0, 0<=k<=n, read by rows: T(n,k) is the number of partitions of n into parts p_i such that |p_i - p_j| >= k for i != j.

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

[1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 5, 2, 2, 1, 1, 7, 3, 2, 2, 1, 1, 11, 4, 3, 2, 2, 1, 1, 15, 5, 3, 3, 2, 2, 1, 1, 22, 6, 4, 3, 3, 2, 2, 1, 1, 30, 8, 5, 4, 3, 3, 2, 2, 1, 1, 42, 10, 6, 4, 4, 3, 3, 2, 2, 1, 1, 56, 12, 7, 5, 4, 4, 3, 3, 2, 2, 1, 1, 77, 15, 9, 6, 5, 4, 4, 3, 3, 2, 2, 1, 1]

cp's OEIS Frontend

A194543 Triangle T(n,k), n>=0, 0<=k<=n, read by rows: T(n,k) is the number of partitions of n into parts p_i such that |p_i - p_j| >= k for i != j.

Table of values

List of values

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

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

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