A274109 - cp's OEIS frontend

A274109 Triangle read by rows: T(n,k) = number of partitions of n into exactly k parts with exactly two different sizes, the sizes being relatively prime (n >= 3, 2 <= k <= n-1).

n	a(n)
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	1
11	2
12	1
13	3
14	3
15	2
16	2
17	1
18	2
19	2
20	2
21	2
22	2
23	1
24	3
25	3
26	2
27	3
28	2
29	2
30	1
31	2
32	2
33	4
34	1
35	3
36	2
37	2
38	1
39	5
40	5
41	3
42	4
43	2
44	3
45	2
46	2
47	1
48	2
49	2
50	2
51	2
52	3
53	2
54	3
55	2
56	2
57	1
58	6
59	6
60	4
61	5
62	2
63	4
64	2
65	3
66	2
67	2
68	1
69	3
70	3
71	5
72	3
73	4
74	1
75	4
76	2
77	3
78	2
79	2
80	1
81	4
82	4
83	3
84	3
85	4
86	4
87	2
88	4
89	2
90	3
91	2
92	2
93	1
94	4
95	4
96	5
97	3
98	4
99	3
100	3
101	2
102	4
103	2
104	3
105	2
106	2
107	1
108	8
109	8
110	5
111	7
112	3
113	5
114	3
115	4
116	2
117	4
118	2
119	3
120	2
121	2
122	1
123	3
124	3
125	5
126	2
127	5
128	2
129	4
130	2
131	4
132	2
133	4
134	2
135	3
136	2
137	2
138	1
139	9
140	9
141	6
142	7
143	3
144	7
145	3
146	4
147	3
148	4
149	2
150	4
151	2
152	3
153	2
154	2
155	1

[1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 3, 3, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 3, 2, 3, 2, 2, 1, 2, 2, 4, 1, 3, 2, 2, 1, 5, 5, 3, 4, 2, 3, 2, 2, 1, 2, 2, 2, 2, 3, 2, 3, 2, 2, 1, 6, 6, 4, 5, 2, 4, 2, 3, 2, 2, 1, 3, 3, 5, 3, 4, 1, 4, 2, 3, 2, 2, 1, 4, 4, 3, 3, 4, 4, 2, 4, 2, 3, 2, 2, 1, 4, 4, 5, 3, 4, 3, 3, 2, 4, 2, 3, 2, 2, 1, 8, 8, 5, 7, 3, 5, 3, 4, 2, 4, 2, 3, 2, 2, 1, 3, 3, 5, 2, 5, 2, 4, 2, 4, 2, 4, 2, 3, 2, 2, 1, 9, 9, 6, 7, 3, 7, 3, 4, 3, 4, 2, 4, 2, 3, 2, 2, 1]

cp's OEIS Frontend

A274109 Triangle read by rows: T(n,k) = number of partitions of n into exactly k parts with exactly two different sizes, the sizes being relatively prime (n >= 3, 2 <= k <= n-1).

Table of values

List of values

n	a(n)
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	1
11	2
12	1
13	3
14	3
15	2
16	2
17	1
18	2
19	2
20	2
21	2
22	2
23	1
24	3
25	3
26	2
27	3
28	2
29	2
30	1
31	2
32	2
33	4
34	1
35	3
36	2
37	2
38	1
39	5
40	5
41	3
42	4
43	2
44	3
45	2
46	2
47	1
48	2
49	2
50	2
51	2
52	3
53	2
54	3
55	2
56	2
57	1
58	6
59	6
60	4
61	5
62	2
63	4
64	2
65	3
66	2
67	2
68	1
69	3
70	3
71	5
72	3
73	4
74	1
75	4
76	2
77	3
78	2
79	2
80	1
81	4
82	4
83	3
84	3
85	4
86	4
87	2
88	4
89	2
90	3
91	2
92	2
93	1
94	4
95	4
96	5
97	3
98	4
99	3
100	3
101	2
102	4
103	2
104	3
105	2
106	2
107	1
108	8
109	8
110	5
111	7
112	3
113	5
114	3
115	4
116	2
117	4
118	2
119	3
120	2
121	2
122	1
123	3
124	3
125	5
126	2
127	5
128	2
129	4
130	2
131	4
132	2
133	4
134	2
135	3
136	2
137	2
138	1
139	9
140	9
141	6
142	7
143	3
144	7
145	3
146	4
147	3
148	4
149	2
150	4
151	2
152	3
153	2
154	2
155	1

n	a(n)
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	1
11	2
12	1
13	3
14	3
15	2
16	2
17	1
18	2
19	2
20	2
21	2
22	2
23	1
24	3
25	3
26	2
27	3
28	2
29	2
30	1
31	2
32	2
33	4
34	1
35	3
36	2
37	2
38	1
39	5
40	5
41	3
42	4
43	2
44	3
45	2
46	2
47	1
48	2
49	2
50	2
51	2
52	3
53	2
54	3
55	2
56	2
57	1
58	6
59	6
60	4
61	5
62	2
63	4
64	2
65	3
66	2
67	2
68	1
69	3
70	3
71	5
72	3
73	4
74	1
75	4
76	2
77	3
78	2
79	2
80	1
81	4
82	4
83	3
84	3
85	4
86	4
87	2
88	4
89	2
90	3
91	2
92	2
93	1
94	4
95	4
96	5
97	3
98	4
99	3
100	3
101	2
102	4
103	2
104	3
105	2
106	2
107	1
108	8
109	8
110	5
111	7
112	3
113	5
114	3
115	4
116	2
117	4
118	2
119	3
120	2
121	2
122	1
123	3
124	3
125	5
126	2
127	5
128	2
129	4
130	2
131	4
132	2
133	4
134	2
135	3
136	2
137	2
138	1
139	9
140	9
141	6
142	7
143	3
144	7
145	3
146	4
147	3
148	4
149	2
150	4
151	2
152	3
153	2
154	2
155	1

n	a(n)
3	1
4	1
5	1
6	2
7	2
8	1
9	1
10	1
11	2
12	1
13	3
14	3
15	2
16	2
17	1
18	2
19	2
20	2
21	2
22	2
23	1
24	3
25	3
26	2
27	3
28	2
29	2
30	1
31	2
32	2
33	4
34	1
35	3
36	2
37	2
38	1
39	5
40	5
41	3
42	4
43	2
44	3
45	2
46	2
47	1
48	2
49	2
50	2
51	2
52	3
53	2
54	3
55	2
56	2
57	1
58	6
59	6
60	4
61	5
62	2
63	4
64	2
65	3
66	2
67	2
68	1
69	3
70	3
71	5
72	3
73	4
74	1
75	4
76	2
77	3
78	2
79	2
80	1
81	4
82	4
83	3
84	3
85	4
86	4
87	2
88	4
89	2
90	3
91	2
92	2
93	1
94	4
95	4
96	5
97	3
98	4
99	3
100	3
101	2
102	4
103	2
104	3
105	2
106	2
107	1
108	8
109	8
110	5
111	7
112	3
113	5
114	3
115	4
116	2
117	4
118	2
119	3
120	2
121	2
122	1
123	3
124	3
125	5
126	2
127	5
128	2
129	4
130	2
131	4
132	2
133	4
134	2
135	3
136	2
137	2
138	1
139	9
140	9
141	6
142	7
143	3
144	7
145	3
146	4
147	3
148	4
149	2
150	4
151	2
152	3
153	2
154	2
155	1