A225597 - cp's OEIS frontend

A225597 Triangle read by rows: T(n,k) = total number of parts of all regions of the set of partitions of n whose largest part is k.

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

[1, 1, 2, 1, 2, 3, 1, 3, 3, 5, 1, 3, 4, 5, 7, 1, 4, 5, 7, 7, 11, 1, 4, 6, 8, 9, 11, 15, 1, 5, 7, 11, 10, 15, 15, 22, 1, 5, 9, 12, 13, 17, 19, 22, 30, 1, 6, 10, 16, 15, 22, 21, 29, 30, 42, 1, 6, 12, 18, 19, 25, 26, 32, 38, 42, 56, 1, 7, 14, 23, 22, 33, 29, 41, 42, 54, 56, 77]

cp's OEIS Frontend

A225597 Triangle read by rows: T(n,k) = total number of parts of all regions of the set of partitions of n whose largest part is k.

Table of values

List of values

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

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

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