A238709 - cp's OEIS frontend

A238709 Triangular array: t(n,k) = number of partitions p = {x(1) >= x(2) >= ... >= x(k)} such that min(x(j) - x(j-1)) = k.

n	a(n)
1	1
2	1
3	1
4	3
5	0
6	1
7	4
8	1
9	0
10	1
11	7
12	1
13	1
14	0
15	1
16	10
17	2
18	0
19	1
20	0
21	1
22	16
23	2
24	1
25	0
26	1
27	0
28	1
29	22
30	3
31	1
32	1
33	0
34	1
35	0
36	1
37	32
38	4
39	2
40	0
41	1
42	0
43	1
44	0
45	1
46	44
47	5
48	2
49	1
50	0
51	1
52	0
53	1
54	0
55	1
56	62
57	6
58	3
59	1
60	1
61	0
62	1
63	0
64	1
65	0
66	1
67	83
68	8
69	3
70	2
71	0
72	1
73	0
74	1
75	0
76	1
77	0
78	1
79	113
80	10
81	4
82	2
83	1

[1, 1, 1, 3, 0, 1, 4, 1, 0, 1, 7, 1, 1, 0, 1, 10, 2, 0, 1, 0, 1, 16, 2, 1, 0, 1, 0, 1, 22, 3, 1, 1, 0, 1, 0, 1, 32, 4, 2, 0, 1, 0, 1, 0, 1, 44, 5, 2, 1, 0, 1, 0, 1, 0, 1, 62, 6, 3, 1, 1, 0, 1, 0, 1, 0, 1, 83, 8, 3, 2, 0, 1, 0, 1, 0, 1, 0, 1, 113, 10, 4, 2, 1]

cp's OEIS Frontend

A238709 Triangular array: t(n,k) = number of partitions p = {x(1) >= x(2) >= ... >= x(k)} such that min(x(j) - x(j-1)) = k.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	3
5	0
6	1
7	4
8	1
9	0
10	1
11	7
12	1
13	1
14	0
15	1
16	10
17	2
18	0
19	1
20	0
21	1
22	16
23	2
24	1
25	0
26	1
27	0
28	1
29	22
30	3
31	1
32	1
33	0
34	1
35	0
36	1
37	32
38	4
39	2
40	0
41	1
42	0
43	1
44	0
45	1
46	44
47	5
48	2
49	1
50	0
51	1
52	0
53	1
54	0
55	1
56	62
57	6
58	3
59	1
60	1
61	0
62	1
63	0
64	1
65	0
66	1
67	83
68	8
69	3
70	2
71	0
72	1
73	0
74	1
75	0
76	1
77	0
78	1
79	113
80	10
81	4
82	2
83	1

n	a(n)
1	1
2	1
3	1
4	3
5	0
6	1
7	4
8	1
9	0
10	1
11	7
12	1
13	1
14	0
15	1
16	10
17	2
18	0
19	1
20	0
21	1
22	16
23	2
24	1
25	0
26	1
27	0
28	1
29	22
30	3
31	1
32	1
33	0
34	1
35	0
36	1
37	32
38	4
39	2
40	0
41	1
42	0
43	1
44	0
45	1
46	44
47	5
48	2
49	1
50	0
51	1
52	0
53	1
54	0
55	1
56	62
57	6
58	3
59	1
60	1
61	0
62	1
63	0
64	1
65	0
66	1
67	83
68	8
69	3
70	2
71	0
72	1
73	0
74	1
75	0
76	1
77	0
78	1
79	113
80	10
81	4
82	2
83	1

n	a(n)
1	1
2	1
3	1
4	3
5	0
6	1
7	4
8	1
9	0
10	1
11	7
12	1
13	1
14	0
15	1
16	10
17	2
18	0
19	1
20	0
21	1
22	16
23	2
24	1
25	0
26	1
27	0
28	1
29	22
30	3
31	1
32	1
33	0
34	1
35	0
36	1
37	32
38	4
39	2
40	0
41	1
42	0
43	1
44	0
45	1
46	44
47	5
48	2
49	1
50	0
51	1
52	0
53	1
54	0
55	1
56	62
57	6
58	3
59	1
60	1
61	0
62	1
63	0
64	1
65	0
66	1
67	83
68	8
69	3
70	2
71	0
72	1
73	0
74	1
75	0
76	1
77	0
78	1
79	113
80	10
81	4
82	2
83	1