A371783 - cp's OEIS frontend

A371783 Irregular triangle read by rows where T(n,k) is the number of integer partitions of n that can be partitioned into d = A027750(n,k) blocks with equal sums.

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	5
7	3
8	1
9	7
10	1
11	11
12	6
13	4
14	1
15	15
16	1
17	22
18	14
19	5
20	1
21	30
22	10
23	1
24	42
25	25
26	6
27	1
28	56
29	1
30	77
31	53
32	30
33	15
34	7
35	1
36	101
37	1
38	135
39	89
40	8
41	1
42	176
43	65
44	21
45	1
46	231
47	167
48	55
49	9
50	1
51	297
52	1
53	385
54	278
55	173
56	28
57	10
58	1
59	490
60	1
61	627
62	480
63	140
64	91
65	11
66	1
67	792
68	343
69	36
70	1

[1, 2, 1, 3, 1, 5, 3, 1, 7, 1, 11, 6, 4, 1, 15, 1, 22, 14, 5, 1, 30, 10, 1, 42, 25, 6, 1, 56, 1, 77, 53, 30, 15, 7, 1, 101, 1, 135, 89, 8, 1, 176, 65, 21, 1, 231, 167, 55, 9, 1, 297, 1, 385, 278, 173, 28, 10, 1, 490, 1, 627, 480, 140, 91, 11, 1, 792, 343, 36, 1]

cp's OEIS Frontend

A371783 Irregular triangle read by rows where T(n,k) is the number of integer partitions of n that can be partitioned into d = A027750(n,k) blocks with equal sums.

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	5
7	3
8	1
9	7
10	1
11	11
12	6
13	4
14	1
15	15
16	1
17	22
18	14
19	5
20	1
21	30
22	10
23	1
24	42
25	25
26	6
27	1
28	56
29	1
30	77
31	53
32	30
33	15
34	7
35	1
36	101
37	1
38	135
39	89
40	8
41	1
42	176
43	65
44	21
45	1
46	231
47	167
48	55
49	9
50	1
51	297
52	1
53	385
54	278
55	173
56	28
57	10
58	1
59	490
60	1
61	627
62	480
63	140
64	91
65	11
66	1
67	792
68	343
69	36
70	1

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	5
7	3
8	1
9	7
10	1
11	11
12	6
13	4
14	1
15	15
16	1
17	22
18	14
19	5
20	1
21	30
22	10
23	1
24	42
25	25
26	6
27	1
28	56
29	1
30	77
31	53
32	30
33	15
34	7
35	1
36	101
37	1
38	135
39	89
40	8
41	1
42	176
43	65
44	21
45	1
46	231
47	167
48	55
49	9
50	1
51	297
52	1
53	385
54	278
55	173
56	28
57	10
58	1
59	490
60	1
61	627
62	480
63	140
64	91
65	11
66	1
67	792
68	343
69	36
70	1

n	a(n)
1	1
2	2
3	1
4	3
5	1
6	5
7	3
8	1
9	7
10	1
11	11
12	6
13	4
14	1
15	15
16	1
17	22
18	14
19	5
20	1
21	30
22	10
23	1
24	42
25	25
26	6
27	1
28	56
29	1
30	77
31	53
32	30
33	15
34	7
35	1
36	101
37	1
38	135
39	89
40	8
41	1
42	176
43	65
44	21
45	1
46	231
47	167
48	55
49	9
50	1
51	297
52	1
53	385
54	278
55	173
56	28
57	10
58	1
59	490
60	1
61	627
62	480
63	140
64	91
65	11
66	1
67	792
68	343
69	36
70	1