A238353 - cp's OEIS frontend

A238353 Triangle T(n,k) read by rows: T(n,k) is the number of partitions of n (as weakly ascending list of parts) with maximal ascent k, n >= 0, 0 <= k <= n.

n	a(n)
0	1
1	1
2	0
3	2
4	0
5	0
6	2
7	1
8	0
9	0
10	3
11	1
12	1
13	0
14	0
15	2
16	3
17	1
18	1
19	0
20	0
21	4
22	3
23	2
24	1
25	1
26	0
27	0
28	2
29	6
30	3
31	2
32	1
33	1
34	0
35	0
36	4
37	6
38	6
39	2
40	2
41	1
42	1
43	0
44	0
45	3
46	10
47	6
48	5
49	2
50	2
51	1
52	1
53	0
54	0
55	4
56	11
57	11
58	6
59	4
60	2
61	2
62	1
63	1
64	0
65	0
66	2
67	16
68	13
69	10
70	5
71	4
72	2
73	2
74	1
75	1
76	0
77	0
78	6
79	17
80	19
81	12
82	9
83	4
84	4
85	2
86	2
87	1
88	1
89	0
90	0
91	2
92	24
93	24
94	18
95	11
96	8
97	4
98	4
99	2
100	2
101	1
102	1
103	0
104	0

[1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 3, 1, 1, 0, 0, 2, 3, 1, 1, 0, 0, 4, 3, 2, 1, 1, 0, 0, 2, 6, 3, 2, 1, 1, 0, 0, 4, 6, 6, 2, 2, 1, 1, 0, 0, 3, 10, 6, 5, 2, 2, 1, 1, 0, 0, 4, 11, 11, 6, 4, 2, 2, 1, 1, 0, 0, 2, 16, 13, 10, 5, 4, 2, 2, 1, 1, 0, 0, 6, 17, 19, 12, 9, 4, 4, 2, 2, 1, 1, 0, 0, 2, 24, 24, 18, 11, 8, 4, 4, 2, 2, 1, 1, 0, 0]

cp's OEIS Frontend

A238353 Triangle T(n,k) read by rows: T(n,k) is the number of partitions of n (as weakly ascending list of parts) with maximal ascent k, n >= 0, 0 <= k <= n.

Table of values

List of values

n	a(n)
0	1
1	1
2	0
3	2
4	0
5	0
6	2
7	1
8	0
9	0
10	3
11	1
12	1
13	0
14	0
15	2
16	3
17	1
18	1
19	0
20	0
21	4
22	3
23	2
24	1
25	1
26	0
27	0
28	2
29	6
30	3
31	2
32	1
33	1
34	0
35	0
36	4
37	6
38	6
39	2
40	2
41	1
42	1
43	0
44	0
45	3
46	10
47	6
48	5
49	2
50	2
51	1
52	1
53	0
54	0
55	4
56	11
57	11
58	6
59	4
60	2
61	2
62	1
63	1
64	0
65	0
66	2
67	16
68	13
69	10
70	5
71	4
72	2
73	2
74	1
75	1
76	0
77	0
78	6
79	17
80	19
81	12
82	9
83	4
84	4
85	2
86	2
87	1
88	1
89	0
90	0
91	2
92	24
93	24
94	18
95	11
96	8
97	4
98	4
99	2
100	2
101	1
102	1
103	0
104	0

n	a(n)
0	1
1	1
2	0
3	2
4	0
5	0
6	2
7	1
8	0
9	0
10	3
11	1
12	1
13	0
14	0
15	2
16	3
17	1
18	1
19	0
20	0
21	4
22	3
23	2
24	1
25	1
26	0
27	0
28	2
29	6
30	3
31	2
32	1
33	1
34	0
35	0
36	4
37	6
38	6
39	2
40	2
41	1
42	1
43	0
44	0
45	3
46	10
47	6
48	5
49	2
50	2
51	1
52	1
53	0
54	0
55	4
56	11
57	11
58	6
59	4
60	2
61	2
62	1
63	1
64	0
65	0
66	2
67	16
68	13
69	10
70	5
71	4
72	2
73	2
74	1
75	1
76	0
77	0
78	6
79	17
80	19
81	12
82	9
83	4
84	4
85	2
86	2
87	1
88	1
89	0
90	0
91	2
92	24
93	24
94	18
95	11
96	8
97	4
98	4
99	2
100	2
101	1
102	1
103	0
104	0

n	a(n)
0	1
1	1
2	0
3	2
4	0
5	0
6	2
7	1
8	0
9	0
10	3
11	1
12	1
13	0
14	0
15	2
16	3
17	1
18	1
19	0
20	0
21	4
22	3
23	2
24	1
25	1
26	0
27	0
28	2
29	6
30	3
31	2
32	1
33	1
34	0
35	0
36	4
37	6
38	6
39	2
40	2
41	1
42	1
43	0
44	0
45	3
46	10
47	6
48	5
49	2
50	2
51	1
52	1
53	0
54	0
55	4
56	11
57	11
58	6
59	4
60	2
61	2
62	1
63	1
64	0
65	0
66	2
67	16
68	13
69	10
70	5
71	4
72	2
73	2
74	1
75	1
76	0
77	0
78	6
79	17
80	19
81	12
82	9
83	4
84	4
85	2
86	2
87	1
88	1
89	0
90	0
91	2
92	24
93	24
94	18
95	11
96	8
97	4
98	4
99	2
100	2
101	1
102	1
103	0
104	0