A182701 - cp's OEIS frontend

A182701 Triangle T(n,k) = n*A000041(n-k) read by rows, 1 <= k <= n. Sum of the parts of all partitions of n that contain k as a part.

n	a(n)
1	1
2	2
3	2
4	6
5	3
6	3
7	12
8	8
9	4
10	4
11	25
12	15
13	10
14	5
15	5
16	42
17	30
18	18
19	12
20	6
21	6
22	77
23	49
24	35
25	21
26	14
27	7
28	7
29	120
30	88
31	56
32	40
33	24
34	16
35	8
36	8
37	198
38	135
39	99
40	63
41	45
42	27
43	18
44	9
45	9
46	300
47	220
48	150
49	110
50	70
51	50
52	30
53	20
54	10
55	10
56	462
57	330
58	242
59	165
60	121
61	77
62	55
63	33
64	22
65	11
66	11
67	672
68	504
69	360
70	264
71	180
72	132
73	84
74	60
75	36
76	24
77	12
78	12

[1, 2, 2, 6, 3, 3, 12, 8, 4, 4, 25, 15, 10, 5, 5, 42, 30, 18, 12, 6, 6, 77, 49, 35, 21, 14, 7, 7, 120, 88, 56, 40, 24, 16, 8, 8, 198, 135, 99, 63, 45, 27, 18, 9, 9, 300, 220, 150, 110, 70, 50, 30, 20, 10, 10, 462, 330, 242, 165, 121, 77, 55, 33, 22, 11, 11, 672, 504, 360, 264, 180, 132, 84, 60, 36, 24, 12, 12]

cp's OEIS Frontend

A182701 Triangle T(n,k) = n*A000041(n-k) read by rows, 1 <= k <= n. Sum of the parts of all partitions of n that contain k as a part.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	6
5	3
6	3
7	12
8	8
9	4
10	4
11	25
12	15
13	10
14	5
15	5
16	42
17	30
18	18
19	12
20	6
21	6
22	77
23	49
24	35
25	21
26	14
27	7
28	7
29	120
30	88
31	56
32	40
33	24
34	16
35	8
36	8
37	198
38	135
39	99
40	63
41	45
42	27
43	18
44	9
45	9
46	300
47	220
48	150
49	110
50	70
51	50
52	30
53	20
54	10
55	10
56	462
57	330
58	242
59	165
60	121
61	77
62	55
63	33
64	22
65	11
66	11
67	672
68	504
69	360
70	264
71	180
72	132
73	84
74	60
75	36
76	24
77	12
78	12

n	a(n)
1	1
2	2
3	2
4	6
5	3
6	3
7	12
8	8
9	4
10	4
11	25
12	15
13	10
14	5
15	5
16	42
17	30
18	18
19	12
20	6
21	6
22	77
23	49
24	35
25	21
26	14
27	7
28	7
29	120
30	88
31	56
32	40
33	24
34	16
35	8
36	8
37	198
38	135
39	99
40	63
41	45
42	27
43	18
44	9
45	9
46	300
47	220
48	150
49	110
50	70
51	50
52	30
53	20
54	10
55	10
56	462
57	330
58	242
59	165
60	121
61	77
62	55
63	33
64	22
65	11
66	11
67	672
68	504
69	360
70	264
71	180
72	132
73	84
74	60
75	36
76	24
77	12
78	12

n	a(n)
1	1
2	2
3	2
4	6
5	3
6	3
7	12
8	8
9	4
10	4
11	25
12	15
13	10
14	5
15	5
16	42
17	30
18	18
19	12
20	6
21	6
22	77
23	49
24	35
25	21
26	14
27	7
28	7
29	120
30	88
31	56
32	40
33	24
34	16
35	8
36	8
37	198
38	135
39	99
40	63
41	45
42	27
43	18
44	9
45	9
46	300
47	220
48	150
49	110
50	70
51	50
52	30
53	20
54	10
55	10
56	462
57	330
58	242
59	165
60	121
61	77
62	55
63	33
64	22
65	11
66	11
67	672
68	504
69	360
70	264
71	180
72	132
73	84
74	60
75	36
76	24
77	12
78	12