A097364 - cp's OEIS frontend

A097364 Triangle read by rows, 0 <= k < n: T(n,k) = number of partitions of n such that the differences between greatest and smallest parts are k.

n	a(n)
1	1
2	2
3	0
4	2
5	1
6	0
7	3
8	1
9	1
10	0
11	2
12	3
13	1
14	1
15	0
16	4
17	2
18	3
19	1
20	1
21	0
22	2
23	5
24	3
25	3
26	1
27	1
28	0
29	4
30	4
31	6
32	3
33	3
34	1
35	1
36	0
37	3
38	6
39	6
40	7
41	3
42	3
43	1
44	1
45	0
46	4
47	6
48	10
49	7
50	7
51	3
52	3
53	1
54	1
55	0
56	2
57	9
58	10
59	12
60	8
61	7
62	3
63	3
64	1
65	1
66	0
67	6
68	6
69	15
70	14
71	13
72	8
73	7
74	3
75	3
76	1
77	1
78	0
79	2
80	11
81	15
82	20
83	16
84	14
85	8
86	7
87	3
88	3
89	1
90	1
91	0
92	4
93	10
94	21
95	22
96	24
97	17

[1, 2, 0, 2, 1, 0, 3, 1, 1, 0, 2, 3, 1, 1, 0, 4, 2, 3, 1, 1, 0, 2, 5, 3, 3, 1, 1, 0, 4, 4, 6, 3, 3, 1, 1, 0, 3, 6, 6, 7, 3, 3, 1, 1, 0, 4, 6, 10, 7, 7, 3, 3, 1, 1, 0, 2, 9, 10, 12, 8, 7, 3, 3, 1, 1, 0, 6, 6, 15, 14, 13, 8, 7, 3, 3, 1, 1, 0, 2, 11, 15, 20, 16, 14, 8, 7, 3, 3, 1, 1, 0, 4, 10, 21, 22, 24, 17]

cp's OEIS Frontend

A097364 Triangle read by rows, 0 <= k < n: T(n,k) = number of partitions of n such that the differences between greatest and smallest parts are k.

Table of values

List of values

n	a(n)
1	1
2	2
3	0
4	2
5	1
6	0
7	3
8	1
9	1
10	0
11	2
12	3
13	1
14	1
15	0
16	4
17	2
18	3
19	1
20	1
21	0
22	2
23	5
24	3
25	3
26	1
27	1
28	0
29	4
30	4
31	6
32	3
33	3
34	1
35	1
36	0
37	3
38	6
39	6
40	7
41	3
42	3
43	1
44	1
45	0
46	4
47	6
48	10
49	7
50	7
51	3
52	3
53	1
54	1
55	0
56	2
57	9
58	10
59	12
60	8
61	7
62	3
63	3
64	1
65	1
66	0
67	6
68	6
69	15
70	14
71	13
72	8
73	7
74	3
75	3
76	1
77	1
78	0
79	2
80	11
81	15
82	20
83	16
84	14
85	8
86	7
87	3
88	3
89	1
90	1
91	0
92	4
93	10
94	21
95	22
96	24
97	17

n	a(n)
1	1
2	2
3	0
4	2
5	1
6	0
7	3
8	1
9	1
10	0
11	2
12	3
13	1
14	1
15	0
16	4
17	2
18	3
19	1
20	1
21	0
22	2
23	5
24	3
25	3
26	1
27	1
28	0
29	4
30	4
31	6
32	3
33	3
34	1
35	1
36	0
37	3
38	6
39	6
40	7
41	3
42	3
43	1
44	1
45	0
46	4
47	6
48	10
49	7
50	7
51	3
52	3
53	1
54	1
55	0
56	2
57	9
58	10
59	12
60	8
61	7
62	3
63	3
64	1
65	1
66	0
67	6
68	6
69	15
70	14
71	13
72	8
73	7
74	3
75	3
76	1
77	1
78	0
79	2
80	11
81	15
82	20
83	16
84	14
85	8
86	7
87	3
88	3
89	1
90	1
91	0
92	4
93	10
94	21
95	22
96	24
97	17

n	a(n)
1	1
2	2
3	0
4	2
5	1
6	0
7	3
8	1
9	1
10	0
11	2
12	3
13	1
14	1
15	0
16	4
17	2
18	3
19	1
20	1
21	0
22	2
23	5
24	3
25	3
26	1
27	1
28	0
29	4
30	4
31	6
32	3
33	3
34	1
35	1
36	0
37	3
38	6
39	6
40	7
41	3
42	3
43	1
44	1
45	0
46	4
47	6
48	10
49	7
50	7
51	3
52	3
53	1
54	1
55	0
56	2
57	9
58	10
59	12
60	8
61	7
62	3
63	3
64	1
65	1
66	0
67	6
68	6
69	15
70	14
71	13
72	8
73	7
74	3
75	3
76	1
77	1
78	0
79	2
80	11
81	15
82	20
83	16
84	14
85	8
86	7
87	3
88	3
89	1
90	1
91	0
92	4
93	10
94	21
95	22
96	24
97	17