A194260 - cp's OEIS frontend

A194260 A194259(n) - n, where A194259(n) is the number of distinct prime factors of p(1)p(2)...*p(n) and p(n) is the n-th partition number.

n	a(n)
1	-1
2	-1
3	-1
4	-1
5	-1
6	-1
7	-2
8	-3
9	-4
10	-5
11	-6
12	-7
13	-7
14	-8
15	-9
16	-10
17	-11
18	-12
19	-13
20	-13
21	-14
22	-14
23	-14
24	-15
25	-15
26	-15
27	-15
28	-15
29	-15
30	-15
31	-15
32	-15
33	-16
34	-16
35	-16
36	-16
37	-16
38	-17
39	-18
40	-18
41	-18
42	-18
43	-18
44	-17
45	-17
46	-16
47	-16
48	-16
49	-16
50	-16
51	-16
52	-16
53	-16
54	-15
55	-15
56	-14
57	-14
58	-14
59	-14
60	-13
61	-13
62	-13
63	-12
64	-12
65	-12
66	-12
67	-11
68	-11
69	-10
70	-10
71	-10
72	-10
73	-9
74	-9
75	-9
76	-9
77	-9
78	-8
79	-7
80	-7
81	-7
82	-8
83	-8
84	-8
85	-8
86	-7
87	-7
88	-7
89	-7
90	-6
91	-5
92	-4
93	-4
94	-4
95	-3
96	-3
97	-4
98	-4
99	-4
100	-4
101	-4
102	-3
103	-3
104	-3
105	-3
106	-3
107	-3
108	-3
109	-3
110	-2
111	-2
112	-2
113	-2
114	-2
115	0
116	1

[-1, -1, -1, -1, -1, -1, -2, -3, -4, -5, -6, -7, -7, -8, -9, -10, -11, -12, -13, -13, -14, -14, -14, -15, -15, -15, -15, -15, -15, -15, -15, -15, -16, -16, -16, -16, -16, -17, -18, -18, -18, -18, -18, -17, -17, -16, -16, -16, -16, -16, -16, -16, -16, -15, -15, -14, -14, -14, -14, -13, -13, -13, -12, -12, -12, -12, -11, -11, -10, -10, -10, -10, -9, -9, -9, -9, -9, -8, -7, -7, -7, -8, -8, -8, -8, -7, -7, -7, -7, -6, -5, -4, -4, -4, -3, -3, -4, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -3, -3, -2, -2, -2, -2, -2, 0, 1]

cp's OEIS Frontend

A194260 A194259(n) - n, where A194259(n) is the number of distinct prime factors of p(1)p(2)...*p(n) and p(n) is the n-th partition number.

Table of values

List of values

n	a(n)
1	-1
2	-1
3	-1
4	-1
5	-1
6	-1
7	-2
8	-3
9	-4
10	-5
11	-6
12	-7
13	-7
14	-8
15	-9
16	-10
17	-11
18	-12
19	-13
20	-13
21	-14
22	-14
23	-14
24	-15
25	-15
26	-15
27	-15
28	-15
29	-15
30	-15
31	-15
32	-15
33	-16
34	-16
35	-16
36	-16
37	-16
38	-17
39	-18
40	-18
41	-18
42	-18
43	-18
44	-17
45	-17
46	-16
47	-16
48	-16
49	-16
50	-16
51	-16
52	-16
53	-16
54	-15
55	-15
56	-14
57	-14
58	-14
59	-14
60	-13
61	-13
62	-13
63	-12
64	-12
65	-12
66	-12
67	-11
68	-11
69	-10
70	-10
71	-10
72	-10
73	-9
74	-9
75	-9
76	-9
77	-9
78	-8
79	-7
80	-7
81	-7
82	-8
83	-8
84	-8
85	-8
86	-7
87	-7
88	-7
89	-7
90	-6
91	-5
92	-4
93	-4
94	-4
95	-3
96	-3
97	-4
98	-4
99	-4
100	-4
101	-4
102	-3
103	-3
104	-3
105	-3
106	-3
107	-3
108	-3
109	-3
110	-2
111	-2
112	-2
113	-2
114	-2
115	0
116	1

n	a(n)
1	-1
2	-1
3	-1
4	-1
5	-1
6	-1
7	-2
8	-3
9	-4
10	-5
11	-6
12	-7
13	-7
14	-8
15	-9
16	-10
17	-11
18	-12
19	-13
20	-13
21	-14
22	-14
23	-14
24	-15
25	-15
26	-15
27	-15
28	-15
29	-15
30	-15
31	-15
32	-15
33	-16
34	-16
35	-16
36	-16
37	-16
38	-17
39	-18
40	-18
41	-18
42	-18
43	-18
44	-17
45	-17
46	-16
47	-16
48	-16
49	-16
50	-16
51	-16
52	-16
53	-16
54	-15
55	-15
56	-14
57	-14
58	-14
59	-14
60	-13
61	-13
62	-13
63	-12
64	-12
65	-12
66	-12
67	-11
68	-11
69	-10
70	-10
71	-10
72	-10
73	-9
74	-9
75	-9
76	-9
77	-9
78	-8
79	-7
80	-7
81	-7
82	-8
83	-8
84	-8
85	-8
86	-7
87	-7
88	-7
89	-7
90	-6
91	-5
92	-4
93	-4
94	-4
95	-3
96	-3
97	-4
98	-4
99	-4
100	-4
101	-4
102	-3
103	-3
104	-3
105	-3
106	-3
107	-3
108	-3
109	-3
110	-2
111	-2
112	-2
113	-2
114	-2
115	0
116	1

cp's OEIS Frontend

A194260 A194259(n) - n, where A194259(n) is the number of distinct prime factors of p(1)*p(2)*...*p(n) and p(n) is the n-th partition number.

Table of values

List of values

A194260 A194259(n) - n, where A194259(n) is the number of distinct prime factors of p(1)p(2)...*p(n) and p(n) is the n-th partition number.

n	a(n)
1	-1
2	-1
3	-1
4	-1
5	-1
6	-1
7	-2
8	-3
9	-4
10	-5
11	-6
12	-7
13	-7
14	-8
15	-9
16	-10
17	-11
18	-12
19	-13
20	-13
21	-14
22	-14
23	-14
24	-15
25	-15
26	-15
27	-15
28	-15
29	-15
30	-15
31	-15
32	-15
33	-16
34	-16
35	-16
36	-16
37	-16
38	-17
39	-18
40	-18
41	-18
42	-18
43	-18
44	-17
45	-17
46	-16
47	-16
48	-16
49	-16
50	-16
51	-16
52	-16
53	-16
54	-15
55	-15
56	-14
57	-14
58	-14
59	-14
60	-13
61	-13
62	-13
63	-12
64	-12
65	-12
66	-12
67	-11
68	-11
69	-10
70	-10
71	-10
72	-10
73	-9
74	-9
75	-9
76	-9
77	-9
78	-8
79	-7
80	-7
81	-7
82	-8
83	-8
84	-8
85	-8
86	-7
87	-7
88	-7
89	-7
90	-6
91	-5
92	-4
93	-4
94	-4
95	-3
96	-3
97	-4
98	-4
99	-4
100	-4
101	-4
102	-3
103	-3
104	-3
105	-3
106	-3
107	-3
108	-3
109	-3
110	-2
111	-2
112	-2
113	-2
114	-2
115	0
116	1