A208475 - cp's OEIS frontend

A208475 Triangle read by rows: T(n,k) = total sum of odd/even parts >= k in all partitions of n, if k is odd/even.

n	a(n)
1	1
2	2
3	2
4	7
5	2
6	3
7	10
8	10
9	3
10	4
11	23
12	12
13	11
14	4
15	5
16	36
17	30
18	17
19	14
20	5
21	6
22	65
23	40
24	35
25	18
26	17
27	6
28	7
29	94
30	82
31	49
32	44
33	22
34	20
35	7
36	8
37	160
38	110
39	93
40	58
41	48
42	26
43	23
44	8
45	9
46	230
47	190
48	133
49	108
50	70
51	56
52	30
53	26
54	9
55	10
56	356
57	260
58	217
59	148
60	124
61	76
62	64
63	34
64	29
65	10
66	11

[1, 2, 2, 7, 2, 3, 10, 10, 3, 4, 23, 12, 11, 4, 5, 36, 30, 17, 14, 5, 6, 65, 40, 35, 18, 17, 6, 7, 94, 82, 49, 44, 22, 20, 7, 8, 160, 110, 93, 58, 48, 26, 23, 8, 9, 230, 190, 133, 108, 70, 56, 30, 26, 9, 10, 356, 260, 217, 148, 124, 76, 64, 34, 29, 10, 11]

cp's OEIS Frontend

A208475 Triangle read by rows: T(n,k) = total sum of odd/even parts >= k in all partitions of n, if k is odd/even.

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	7
5	2
6	3
7	10
8	10
9	3
10	4
11	23
12	12
13	11
14	4
15	5
16	36
17	30
18	17
19	14
20	5
21	6
22	65
23	40
24	35
25	18
26	17
27	6
28	7
29	94
30	82
31	49
32	44
33	22
34	20
35	7
36	8
37	160
38	110
39	93
40	58
41	48
42	26
43	23
44	8
45	9
46	230
47	190
48	133
49	108
50	70
51	56
52	30
53	26
54	9
55	10
56	356
57	260
58	217
59	148
60	124
61	76
62	64
63	34
64	29
65	10
66	11

n	a(n)
1	1
2	2
3	2
4	7
5	2
6	3
7	10
8	10
9	3
10	4
11	23
12	12
13	11
14	4
15	5
16	36
17	30
18	17
19	14
20	5
21	6
22	65
23	40
24	35
25	18
26	17
27	6
28	7
29	94
30	82
31	49
32	44
33	22
34	20
35	7
36	8
37	160
38	110
39	93
40	58
41	48
42	26
43	23
44	8
45	9
46	230
47	190
48	133
49	108
50	70
51	56
52	30
53	26
54	9
55	10
56	356
57	260
58	217
59	148
60	124
61	76
62	64
63	34
64	29
65	10
66	11

n	a(n)
1	1
2	2
3	2
4	7
5	2
6	3
7	10
8	10
9	3
10	4
11	23
12	12
13	11
14	4
15	5
16	36
17	30
18	17
19	14
20	5
21	6
22	65
23	40
24	35
25	18
26	17
27	6
28	7
29	94
30	82
31	49
32	44
33	22
34	20
35	7
36	8
37	160
38	110
39	93
40	58
41	48
42	26
43	23
44	8
45	9
46	230
47	190
48	133
49	108
50	70
51	56
52	30
53	26
54	9
55	10
56	356
57	260
58	217
59	148
60	124
61	76
62	64
63	34
64	29
65	10
66	11