A225599 - cp's OEIS frontend

A225599 Triangle read by rows: T(n,k) = sum of all parts that start in the k-th column of the diagram of regions of the set of partitions of n.

n	a(n)
1	1
2	3
3	1
4	6
5	1
6	2
7	12
8	1
9	4
10	3
11	20
12	1
13	4
14	5
15	5
16	35
17	1
18	6
19	8
20	9
21	7
22	54
23	1
24	6
25	10
26	12
27	11
28	11
29	86
30	1
31	8
32	13
33	20
34	14
35	19
36	15
37	128
38	1
39	8
40	18
41	23
42	22
43	25
44	23
45	22
46	192
47	1
48	10
49	21
50	34
51	30
52	37
53	29
54	36
55	30
56	275
57	1
58	10
59	26
60	41
61	41
62	48
63	41
64	45
65	46
66	42
67	399
68	1
69	12
70	32
71	56
72	53
73	72
74	52
75	67
76	58
77	66
78	56

[1, 3, 1, 6, 1, 2, 12, 1, 4, 3, 20, 1, 4, 5, 5, 35, 1, 6, 8, 9, 7, 54, 1, 6, 10, 12, 11, 11, 86, 1, 8, 13, 20, 14, 19, 15, 128, 1, 8, 18, 23, 22, 25, 23, 22, 192, 1, 10, 21, 34, 30, 37, 29, 36, 30, 275, 1, 10, 26, 41, 41, 48, 41, 45, 46, 42, 399, 1, 12, 32, 56, 53, 72, 52, 67, 58, 66, 56]

cp's OEIS Frontend

A225599 Triangle read by rows: T(n,k) = sum of all parts that start in the k-th column of the diagram of regions of the set of partitions of n.

Table of values

List of values

n	a(n)
1	1
2	3
3	1
4	6
5	1
6	2
7	12
8	1
9	4
10	3
11	20
12	1
13	4
14	5
15	5
16	35
17	1
18	6
19	8
20	9
21	7
22	54
23	1
24	6
25	10
26	12
27	11
28	11
29	86
30	1
31	8
32	13
33	20
34	14
35	19
36	15
37	128
38	1
39	8
40	18
41	23
42	22
43	25
44	23
45	22
46	192
47	1
48	10
49	21
50	34
51	30
52	37
53	29
54	36
55	30
56	275
57	1
58	10
59	26
60	41
61	41
62	48
63	41
64	45
65	46
66	42
67	399
68	1
69	12
70	32
71	56
72	53
73	72
74	52
75	67
76	58
77	66
78	56

n	a(n)
1	1
2	3
3	1
4	6
5	1
6	2
7	12
8	1
9	4
10	3
11	20
12	1
13	4
14	5
15	5
16	35
17	1
18	6
19	8
20	9
21	7
22	54
23	1
24	6
25	10
26	12
27	11
28	11
29	86
30	1
31	8
32	13
33	20
34	14
35	19
36	15
37	128
38	1
39	8
40	18
41	23
42	22
43	25
44	23
45	22
46	192
47	1
48	10
49	21
50	34
51	30
52	37
53	29
54	36
55	30
56	275
57	1
58	10
59	26
60	41
61	41
62	48
63	41
64	45
65	46
66	42
67	399
68	1
69	12
70	32
71	56
72	53
73	72
74	52
75	67
76	58
77	66
78	56

n	a(n)
1	1
2	3
3	1
4	6
5	1
6	2
7	12
8	1
9	4
10	3
11	20
12	1
13	4
14	5
15	5
16	35
17	1
18	6
19	8
20	9
21	7
22	54
23	1
24	6
25	10
26	12
27	11
28	11
29	86
30	1
31	8
32	13
33	20
34	14
35	19
36	15
37	128
38	1
39	8
40	18
41	23
42	22
43	25
44	23
45	22
46	192
47	1
48	10
49	21
50	34
51	30
52	37
53	29
54	36
55	30
56	275
57	1
58	10
59	26
60	41
61	41
62	48
63	41
64	45
65	46
66	42
67	399
68	1
69	12
70	32
71	56
72	53
73	72
74	52
75	67
76	58
77	66
78	56