A061198 - cp's OEIS frontend

A061198 Square table by antidiagonals where T(n,k) is number of partitions of k where no part appears more than n times; also partitions of k where no parts are multiples of (n+1).

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

[1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 3, 4, 3, 2, 1, 1, 0, 4, 5, 4, 3, 2, 1, 1, 0, 5, 7, 6, 5, 3, 2, 1, 1, 0, 6, 9, 9, 6, 5, 3, 2, 1, 1, 0, 8, 13, 12, 10, 7, 5, 3, 2, 1, 1, 0, 10, 16, 16, 13, 10, 7, 5, 3, 2, 1, 1, 0, 12, 22, 22, 19, 14, 11, 7, 5, 3, 2, 1, 1, 0, 15, 27, 29, 25, 20, 14, 11, 7, 5, 3, 2, 1, 1]

cp's OEIS Frontend

A061198 Square table by antidiagonals where T(n,k) is number of partitions of k where no part appears more than n times; also partitions of k where no parts are multiples of (n+1).

Table of values

List of values

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

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

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