A083339 - cp's OEIS frontend

A083339 a(n) is the number of distinct prime factors of n that occur in partitions into two primes when n is even and into three primes when n is odd.

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	0
9	1
10	1
11	0
12	0
13	0
14	1
15	2
16	0
17	0
18	0
19	0
20	0
21	2
22	1
23	0
24	0
25	1
26	1
27	1
28	0
29	0
30	0
31	0
32	0
33	2
34	1
35	2
36	0
37	0
38	1
39	2
40	0
41	0
42	0
43	0
44	0
45	2
46	1
47	0
48	0
49	1
50	0
51	2
52	0
53	0
54	0
55	2
56	0
57	2
58	1
59	0
60	0
61	0
62	1
63	2
64	0
65	2
66	0
67	0
68	0
69	2
70	0
71	0
72	0
73	0
74	1
75	2
76	0
77	2
78	0
79	0
80	0
81	1
82	1
83	0
84	0
85	2
86	1
87	2
88	0
89	0
90	0
91	2
92	0
93	2
94	1
95	2
96	0
97	0
98	0
99	2
100	0
101	0
102	0
103	0
104	0
105	3

[0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3]

cp's OEIS Frontend

A083339 a(n) is the number of distinct prime factors of n that occur in partitions into two primes when n is even and into three primes when n is odd.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	0
9	1
10	1
11	0
12	0
13	0
14	1
15	2
16	0
17	0
18	0
19	0
20	0
21	2
22	1
23	0
24	0
25	1
26	1
27	1
28	0
29	0
30	0
31	0
32	0
33	2
34	1
35	2
36	0
37	0
38	1
39	2
40	0
41	0
42	0
43	0
44	0
45	2
46	1
47	0
48	0
49	1
50	0
51	2
52	0
53	0
54	0
55	2
56	0
57	2
58	1
59	0
60	0
61	0
62	1
63	2
64	0
65	2
66	0
67	0
68	0
69	2
70	0
71	0
72	0
73	0
74	1
75	2
76	0
77	2
78	0
79	0
80	0
81	1
82	1
83	0
84	0
85	2
86	1
87	2
88	0
89	0
90	0
91	2
92	0
93	2
94	1
95	2
96	0
97	0
98	0
99	2
100	0
101	0
102	0
103	0
104	0
105	3

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	0
9	1
10	1
11	0
12	0
13	0
14	1
15	2
16	0
17	0
18	0
19	0
20	0
21	2
22	1
23	0
24	0
25	1
26	1
27	1
28	0
29	0
30	0
31	0
32	0
33	2
34	1
35	2
36	0
37	0
38	1
39	2
40	0
41	0
42	0
43	0
44	0
45	2
46	1
47	0
48	0
49	1
50	0
51	2
52	0
53	0
54	0
55	2
56	0
57	2
58	1
59	0
60	0
61	0
62	1
63	2
64	0
65	2
66	0
67	0
68	0
69	2
70	0
71	0
72	0
73	0
74	1
75	2
76	0
77	2
78	0
79	0
80	0
81	1
82	1
83	0
84	0
85	2
86	1
87	2
88	0
89	0
90	0
91	2
92	0
93	2
94	1
95	2
96	0
97	0
98	0
99	2
100	0
101	0
102	0
103	0
104	0
105	3

n	a(n)
1	0
2	0
3	0
4	1
5	0
6	1
7	0
8	0
9	1
10	1
11	0
12	0
13	0
14	1
15	2
16	0
17	0
18	0
19	0
20	0
21	2
22	1
23	0
24	0
25	1
26	1
27	1
28	0
29	0
30	0
31	0
32	0
33	2
34	1
35	2
36	0
37	0
38	1
39	2
40	0
41	0
42	0
43	0
44	0
45	2
46	1
47	0
48	0
49	1
50	0
51	2
52	0
53	0
54	0
55	2
56	0
57	2
58	1
59	0
60	0
61	0
62	1
63	2
64	0
65	2
66	0
67	0
68	0
69	2
70	0
71	0
72	0
73	0
74	1
75	2
76	0
77	2
78	0
79	0
80	0
81	1
82	1
83	0
84	0
85	2
86	1
87	2
88	0
89	0
90	0
91	2
92	0
93	2
94	1
95	2
96	0
97	0
98	0
99	2
100	0
101	0
102	0
103	0
104	0
105	3