A225598 - cp's OEIS frontend

A225598 Triangle read by rows: T(n,k) = sum of all parts of all regions of the set of partitions of n whose largest part is k.

n	a(n)
1	1
2	1
3	3
4	1
5	3
6	5
7	1
8	5
9	5
10	9
11	1
12	5
13	8
14	9
15	12
16	1
17	7
18	11
19	15
20	12
21	20
22	1
23	7
24	14
25	19
26	19
27	20
28	25
29	1
30	9
31	17
32	29
33	24
34	33
35	25
36	38
37	1
38	9
39	23
40	33
41	36
42	42
43	39
44	38
45	49
46	1
47	11
48	26
49	47
50	46
51	61
52	49
53	61
54	49
55	69
56	1
57	11
58	32
59	55
60	63
61	76
62	70
63	76
64	76
65	69
66	87
67	1
68	13
69	38
70	73
71	78
72	110
73	87
74	111
75	95
76	108
77	87
78	123

[1, 1, 3, 1, 3, 5, 1, 5, 5, 9, 1, 5, 8, 9, 12, 1, 7, 11, 15, 12, 20, 1, 7, 14, 19, 19, 20, 25, 1, 9, 17, 29, 24, 33, 25, 38, 1, 9, 23, 33, 36, 42, 39, 38, 49, 1, 11, 26, 47, 46, 61, 49, 61, 49, 69, 1, 11, 32, 55, 63, 76, 70, 76, 76, 69, 87, 1, 13, 38, 73, 78, 110, 87, 111, 95, 108, 87, 123]

cp's OEIS Frontend

A225598 Triangle read by rows: T(n,k) = sum of all 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	3
4	1
5	3
6	5
7	1
8	5
9	5
10	9
11	1
12	5
13	8
14	9
15	12
16	1
17	7
18	11
19	15
20	12
21	20
22	1
23	7
24	14
25	19
26	19
27	20
28	25
29	1
30	9
31	17
32	29
33	24
34	33
35	25
36	38
37	1
38	9
39	23
40	33
41	36
42	42
43	39
44	38
45	49
46	1
47	11
48	26
49	47
50	46
51	61
52	49
53	61
54	49
55	69
56	1
57	11
58	32
59	55
60	63
61	76
62	70
63	76
64	76
65	69
66	87
67	1
68	13
69	38
70	73
71	78
72	110
73	87
74	111
75	95
76	108
77	87
78	123

n	a(n)
1	1
2	1
3	3
4	1
5	3
6	5
7	1
8	5
9	5
10	9
11	1
12	5
13	8
14	9
15	12
16	1
17	7
18	11
19	15
20	12
21	20
22	1
23	7
24	14
25	19
26	19
27	20
28	25
29	1
30	9
31	17
32	29
33	24
34	33
35	25
36	38
37	1
38	9
39	23
40	33
41	36
42	42
43	39
44	38
45	49
46	1
47	11
48	26
49	47
50	46
51	61
52	49
53	61
54	49
55	69
56	1
57	11
58	32
59	55
60	63
61	76
62	70
63	76
64	76
65	69
66	87
67	1
68	13
69	38
70	73
71	78
72	110
73	87
74	111
75	95
76	108
77	87
78	123

n	a(n)
1	1
2	1
3	3
4	1
5	3
6	5
7	1
8	5
9	5
10	9
11	1
12	5
13	8
14	9
15	12
16	1
17	7
18	11
19	15
20	12
21	20
22	1
23	7
24	14
25	19
26	19
27	20
28	25
29	1
30	9
31	17
32	29
33	24
34	33
35	25
36	38
37	1
38	9
39	23
40	33
41	36
42	42
43	39
44	38
45	49
46	1
47	11
48	26
49	47
50	46
51	61
52	49
53	61
54	49
55	69
56	1
57	11
58	32
59	55
60	63
61	76
62	70
63	76
64	76
65	69
66	87
67	1
68	13
69	38
70	73
71	78
72	110
73	87
74	111
75	95
76	108
77	87
78	123