A181846 - cp's OEIS frontend

A181846 Triangle read by rows: T(n,k) = Sum_{c in P(n,n-k+1)} gcd(c) where P(n,m) = A008284(n,m) is the number of partitions of n into m parts.

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	3
7	1
8	1
9	3
10	4
11	1
12	1
13	2
14	2
15	5
16	1
17	1
18	2
19	4
20	6
21	6
22	1
23	1
24	2
25	3
26	4
27	3
28	7
29	1
30	1
31	2
32	3
33	6
34	6
35	8
36	8
37	1
38	1
39	2
40	3
41	5
42	6
43	9
44	6
45	9
46	1
47	1
48	2
49	3
50	5
51	8
52	10
53	10
54	11
55	10
56	1
57	1
58	2
59	3
60	5
61	7
62	10
63	11
64	10
65	5
66	11
67	1
68	1
69	2
70	3
71	5
72	7
73	12
74	14
75	19
76	19
77	17
78	12
79	1
80	1
81	2
82	3
83	5
84	7
85	11
86	14
87	18
88	18
89	14
90	6
91	13

[1, 1, 2, 1, 1, 3, 1, 1, 3, 4, 1, 1, 2, 2, 5, 1, 1, 2, 4, 6, 6, 1, 1, 2, 3, 4, 3, 7, 1, 1, 2, 3, 6, 6, 8, 8, 1, 1, 2, 3, 5, 6, 9, 6, 9, 1, 1, 2, 3, 5, 8, 10, 10, 11, 10, 1, 1, 2, 3, 5, 7, 10, 11, 10, 5, 11, 1, 1, 2, 3, 5, 7, 12, 14, 19, 19, 17, 12, 1, 1, 2, 3, 5, 7, 11, 14, 18, 18, 14, 6, 13]

cp's OEIS Frontend

A181846 Triangle read by rows: T(n,k) = Sum_{c in P(n,n-k+1)} gcd(c) where P(n,m) = A008284(n,m) is the number of partitions of n into m parts.

Table of values

List of values

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	3
7	1
8	1
9	3
10	4
11	1
12	1
13	2
14	2
15	5
16	1
17	1
18	2
19	4
20	6
21	6
22	1
23	1
24	2
25	3
26	4
27	3
28	7
29	1
30	1
31	2
32	3
33	6
34	6
35	8
36	8
37	1
38	1
39	2
40	3
41	5
42	6
43	9
44	6
45	9
46	1
47	1
48	2
49	3
50	5
51	8
52	10
53	10
54	11
55	10
56	1
57	1
58	2
59	3
60	5
61	7
62	10
63	11
64	10
65	5
66	11
67	1
68	1
69	2
70	3
71	5
72	7
73	12
74	14
75	19
76	19
77	17
78	12
79	1
80	1
81	2
82	3
83	5
84	7
85	11
86	14
87	18
88	18
89	14
90	6
91	13

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	3
7	1
8	1
9	3
10	4
11	1
12	1
13	2
14	2
15	5
16	1
17	1
18	2
19	4
20	6
21	6
22	1
23	1
24	2
25	3
26	4
27	3
28	7
29	1
30	1
31	2
32	3
33	6
34	6
35	8
36	8
37	1
38	1
39	2
40	3
41	5
42	6
43	9
44	6
45	9
46	1
47	1
48	2
49	3
50	5
51	8
52	10
53	10
54	11
55	10
56	1
57	1
58	2
59	3
60	5
61	7
62	10
63	11
64	10
65	5
66	11
67	1
68	1
69	2
70	3
71	5
72	7
73	12
74	14
75	19
76	19
77	17
78	12
79	1
80	1
81	2
82	3
83	5
84	7
85	11
86	14
87	18
88	18
89	14
90	6
91	13

n	a(n)
1	1
2	1
3	2
4	1
5	1
6	3
7	1
8	1
9	3
10	4
11	1
12	1
13	2
14	2
15	5
16	1
17	1
18	2
19	4
20	6
21	6
22	1
23	1
24	2
25	3
26	4
27	3
28	7
29	1
30	1
31	2
32	3
33	6
34	6
35	8
36	8
37	1
38	1
39	2
40	3
41	5
42	6
43	9
44	6
45	9
46	1
47	1
48	2
49	3
50	5
51	8
52	10
53	10
54	11
55	10
56	1
57	1
58	2
59	3
60	5
61	7
62	10
63	11
64	10
65	5
66	11
67	1
68	1
69	2
70	3
71	5
72	7
73	12
74	14
75	19
76	19
77	17
78	12
79	1
80	1
81	2
82	3
83	5
84	7
85	11
86	14
87	18
88	18
89	14
90	6
91	13