A059619 - cp's OEIS frontend

A059619 As upper right triangle, number of strongly unimodal partitions of n (strongly unimodal means strictly increasing then strictly decreasing) where initial part is k.

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	3
7	1
8	1
9	1
10	4
11	2
12	0
13	1
14	1
15	6
16	2
17	1
18	1
19	1
20	1
21	10
22	4
23	2
24	1
25	1
26	1
27	1
28	15
29	6
30	3
31	1
32	2
33	1
34	1
35	1
36	21
37	9
38	4
39	2
40	1
41	2
42	1
43	1
44	1
45	30
46	12
47	6
48	3
49	2
50	2
51	2
52	1
53	1
54	1
55	43
56	18
57	8
58	5
59	3
60	2
61	2
62	2
63	1
64	1
65	1
66	59
67	25
68	12
69	6
70	3
71	3
72	3
73	2
74	2
75	1
76	1
77	1
78	82
79	34
80	17
81	9
82	5
83	4
84	3
85	3
86	2
87	2
88	1
89	1
90	1
91	111
92	48
93	22
94	12

[1, 1, 1, 1, 0, 1, 3, 1, 1, 1, 4, 2, 0, 1, 1, 6, 2, 1, 1, 1, 1, 10, 4, 2, 1, 1, 1, 1, 15, 6, 3, 1, 2, 1, 1, 1, 21, 9, 4, 2, 1, 2, 1, 1, 1, 30, 12, 6, 3, 2, 2, 2, 1, 1, 1, 43, 18, 8, 5, 3, 2, 2, 2, 1, 1, 1, 59, 25, 12, 6, 3, 3, 3, 2, 2, 1, 1, 1, 82, 34, 17, 9, 5, 4, 3, 3, 2, 2, 1, 1, 1, 111, 48, 22, 12]

cp's OEIS Frontend

A059619 As upper right triangle, number of strongly unimodal partitions of n (strongly unimodal means strictly increasing then strictly decreasing) where initial part is k.

Table of values

List of values

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	3
7	1
8	1
9	1
10	4
11	2
12	0
13	1
14	1
15	6
16	2
17	1
18	1
19	1
20	1
21	10
22	4
23	2
24	1
25	1
26	1
27	1
28	15
29	6
30	3
31	1
32	2
33	1
34	1
35	1
36	21
37	9
38	4
39	2
40	1
41	2
42	1
43	1
44	1
45	30
46	12
47	6
48	3
49	2
50	2
51	2
52	1
53	1
54	1
55	43
56	18
57	8
58	5
59	3
60	2
61	2
62	2
63	1
64	1
65	1
66	59
67	25
68	12
69	6
70	3
71	3
72	3
73	2
74	2
75	1
76	1
77	1
78	82
79	34
80	17
81	9
82	5
83	4
84	3
85	3
86	2
87	2
88	1
89	1
90	1
91	111
92	48
93	22
94	12

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	3
7	1
8	1
9	1
10	4
11	2
12	0
13	1
14	1
15	6
16	2
17	1
18	1
19	1
20	1
21	10
22	4
23	2
24	1
25	1
26	1
27	1
28	15
29	6
30	3
31	1
32	2
33	1
34	1
35	1
36	21
37	9
38	4
39	2
40	1
41	2
42	1
43	1
44	1
45	30
46	12
47	6
48	3
49	2
50	2
51	2
52	1
53	1
54	1
55	43
56	18
57	8
58	5
59	3
60	2
61	2
62	2
63	1
64	1
65	1
66	59
67	25
68	12
69	6
70	3
71	3
72	3
73	2
74	2
75	1
76	1
77	1
78	82
79	34
80	17
81	9
82	5
83	4
84	3
85	3
86	2
87	2
88	1
89	1
90	1
91	111
92	48
93	22
94	12

n	a(n)
0	1
1	1
2	1
3	1
4	0
5	1
6	3
7	1
8	1
9	1
10	4
11	2
12	0
13	1
14	1
15	6
16	2
17	1
18	1
19	1
20	1
21	10
22	4
23	2
24	1
25	1
26	1
27	1
28	15
29	6
30	3
31	1
32	2
33	1
34	1
35	1
36	21
37	9
38	4
39	2
40	1
41	2
42	1
43	1
44	1
45	30
46	12
47	6
48	3
49	2
50	2
51	2
52	1
53	1
54	1
55	43
56	18
57	8
58	5
59	3
60	2
61	2
62	2
63	1
64	1
65	1
66	59
67	25
68	12
69	6
70	3
71	3
72	3
73	2
74	2
75	1
76	1
77	1
78	82
79	34
80	17
81	9
82	5
83	4
84	3
85	3
86	2
87	2
88	1
89	1
90	1
91	111
92	48
93	22
94	12