A292622 - cp's OEIS frontend

A292622 Number A(n,k) of partitions of n with up to k distinct kinds of 1; square array A(n,k), n>=0, k>=0, read by antidiagonals.

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

[1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 3, 2, 2, 2, 1, 4, 4, 3, 3, 2, 1, 5, 7, 5, 5, 4, 4, 1, 6, 11, 9, 8, 7, 6, 4, 1, 7, 16, 16, 13, 12, 10, 8, 7, 1, 8, 22, 27, 22, 20, 17, 14, 11, 8, 1, 9, 29, 43, 38, 33, 29, 24, 19, 15, 12, 1, 10, 37, 65, 65, 55, 49, 41, 33, 26, 20, 14]

cp's OEIS Frontend

A292622 Number A(n,k) of partitions of n with up to k distinct kinds of 1; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values

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

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

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