A181847 - cp's OEIS frontend

A181847 Triangle read by rows: T(n,k)= Sum_{c in C(n,k)}gcd(c) where C(n,k) is the set of all k-tuples of positive integers whose elements sum to n.

n	a(n)
1	1
2	2
3	1
4	3
5	2
6	1
7	4
8	4
9	3
10	1
11	5
12	4
13	6
14	4
15	1
16	6
17	9
18	11
19	10
20	5
21	1
22	7
23	6
24	15
25	20
26	15
27	6
28	1
29	8
30	12
31	24
32	36
33	35
34	21
35	7
36	1
37	9
38	12
39	30
40	56
41	70
42	56
43	28
44	8
45	1
46	10
47	17
48	42
49	88
50	127
51	126
52	84
53	36
54	9
55	1

[1, 2, 1, 3, 2, 1, 4, 4, 3, 1, 5, 4, 6, 4, 1, 6, 9, 11, 10, 5, 1, 7, 6, 15, 20, 15, 6, 1, 8, 12, 24, 36, 35, 21, 7, 1, 9, 12, 30, 56, 70, 56, 28, 8, 1, 10, 17, 42, 88, 127, 126, 84, 36, 9, 1]

cp's OEIS Frontend

A181847 Triangle read by rows: T(n,k)= Sum_{c in C(n,k)}gcd(c) where C(n,k) is the set of all k-tuples of positive integers whose elements sum to n.

Table of values

List of values

n	a(n)
1	1
2	2
3	1
4	3
5	2
6	1
7	4
8	4
9	3
10	1
11	5
12	4
13	6
14	4
15	1
16	6
17	9
18	11
19	10
20	5
21	1
22	7
23	6
24	15
25	20
26	15
27	6
28	1
29	8
30	12
31	24
32	36
33	35
34	21
35	7
36	1
37	9
38	12
39	30
40	56
41	70
42	56
43	28
44	8
45	1
46	10
47	17
48	42
49	88
50	127
51	126
52	84
53	36
54	9
55	1

n	a(n)
1	1
2	2
3	1
4	3
5	2
6	1
7	4
8	4
9	3
10	1
11	5
12	4
13	6
14	4
15	1
16	6
17	9
18	11
19	10
20	5
21	1
22	7
23	6
24	15
25	20
26	15
27	6
28	1
29	8
30	12
31	24
32	36
33	35
34	21
35	7
36	1
37	9
38	12
39	30
40	56
41	70
42	56
43	28
44	8
45	1
46	10
47	17
48	42
49	88
50	127
51	126
52	84
53	36
54	9
55	1

n	a(n)
1	1
2	2
3	1
4	3
5	2
6	1
7	4
8	4
9	3
10	1
11	5
12	4
13	6
14	4
15	1
16	6
17	9
18	11
19	10
20	5
21	1
22	7
23	6
24	15
25	20
26	15
27	6
28	1
29	8
30	12
31	24
32	36
33	35
34	21
35	7
36	1
37	9
38	12
39	30
40	56
41	70
42	56
43	28
44	8
45	1
46	10
47	17
48	42
49	88
50	127
51	126
52	84
53	36
54	9
55	1