A116595 - cp's OEIS frontend

A116595 Triangle read by rows: T(n,k) is the number of partitions of n having exactly k parts that appear exactly once (n>=0, k>=0).

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	4
13	2
14	4
15	4
16	2
17	1
18	2
19	8
20	4
21	1
22	6
23	8
24	6
25	2
26	5
27	12
28	10
29	3
30	9
31	16
32	12
33	4
34	1
35	7
36	23
37	19
38	6
39	1
40	16
41	24
42	25
43	10
44	2
45	11
46	40
47	33
48	14
49	3
50	22
51	45
52	41
53	22
54	5
55	20
56	59
57	63
58	27
59	6
60	1
61	33
62	72
63	73
64	42
65	10
66	1
67	28
68	99
69	101
70	53
71	14
72	2
73	51
74	108
75	127
76	75
77	21
78	3
79	42
80	153
81	167

[1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 4, 2, 4, 4, 2, 1, 2, 8, 4, 1, 6, 8, 6, 2, 5, 12, 10, 3, 9, 16, 12, 4, 1, 7, 23, 19, 6, 1, 16, 24, 25, 10, 2, 11, 40, 33, 14, 3, 22, 45, 41, 22, 5, 20, 59, 63, 27, 6, 1, 33, 72, 73, 42, 10, 1, 28, 99, 101, 53, 14, 2, 51, 108, 127, 75, 21, 3, 42, 153, 167]

cp's OEIS Frontend

A116595 Triangle read by rows: T(n,k) is the number of partitions of n having exactly k parts that appear exactly once (n>=0, k>=0).

Table of values

List of values

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	4
13	2
14	4
15	4
16	2
17	1
18	2
19	8
20	4
21	1
22	6
23	8
24	6
25	2
26	5
27	12
28	10
29	3
30	9
31	16
32	12
33	4
34	1
35	7
36	23
37	19
38	6
39	1
40	16
41	24
42	25
43	10
44	2
45	11
46	40
47	33
48	14
49	3
50	22
51	45
52	41
53	22
54	5
55	20
56	59
57	63
58	27
59	6
60	1
61	33
62	72
63	73
64	42
65	10
66	1
67	28
68	99
69	101
70	53
71	14
72	2
73	51
74	108
75	127
76	75
77	21
78	3
79	42
80	153
81	167

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	4
13	2
14	4
15	4
16	2
17	1
18	2
19	8
20	4
21	1
22	6
23	8
24	6
25	2
26	5
27	12
28	10
29	3
30	9
31	16
32	12
33	4
34	1
35	7
36	23
37	19
38	6
39	1
40	16
41	24
42	25
43	10
44	2
45	11
46	40
47	33
48	14
49	3
50	22
51	45
52	41
53	22
54	5
55	20
56	59
57	63
58	27
59	6
60	1
61	33
62	72
63	73
64	42
65	10
66	1
67	28
68	99
69	101
70	53
71	14
72	2
73	51
74	108
75	127
76	75
77	21
78	3
79	42
80	153
81	167

n	a(n)
0	1
1	0
2	1
3	1
4	1
5	1
6	1
7	1
8	2
9	2
10	1
11	1
12	4
13	2
14	4
15	4
16	2
17	1
18	2
19	8
20	4
21	1
22	6
23	8
24	6
25	2
26	5
27	12
28	10
29	3
30	9
31	16
32	12
33	4
34	1
35	7
36	23
37	19
38	6
39	1
40	16
41	24
42	25
43	10
44	2
45	11
46	40
47	33
48	14
49	3
50	22
51	45
52	41
53	22
54	5
55	20
56	59
57	63
58	27
59	6
60	1
61	33
62	72
63	73
64	42
65	10
66	1
67	28
68	99
69	101
70	53
71	14
72	2
73	51
74	108
75	127
76	75
77	21
78	3
79	42
80	153
81	167