A264404 - cp's OEIS frontend

A264404 Triangle read by rows: T(n,k) is the number of partitions of n in which the sum of the parts of multiplicity greater than 1 is k (0<=k). For example, in the partition [3,2,2,1,1,1] the sum k is 2 + 1 = 3.

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

[1, 1, 1, 1, 2, 1, 2, 2, 1, 3, 3, 1, 4, 4, 1, 2, 5, 6, 2, 2, 6, 8, 3, 3, 2, 8, 11, 4, 5, 2, 10, 14, 5, 7, 3, 3, 12, 19, 7, 10, 5, 3, 15, 24, 9, 15, 6, 4, 4, 18, 31, 12, 20, 9, 7, 4, 22, 39, 15, 26, 13, 9, 6, 5, 27, 49, 19, 36, 17, 13, 10, 5, 32, 61, 24, 46, 23, 18, 14, 7, 6, 38, 76, 30, 60, 31, 24]

cp's OEIS Frontend

A264404 Triangle read by rows: T(n,k) is the number of partitions of n in which the sum of the parts of multiplicity greater than 1 is k (0<=k). For example, in the partition [3,2,2,1,1,1] the sum k is 2 + 1 = 3.

Table of values

List of values

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

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

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