A139141 - cp's OEIS frontend

A139141 For n>=1, a(n) = floor((d(p(n)+1) + d(p(n)+2) + d(p(n)+3) + ... +d(p(n+1)))/(p(n+1) - p(n))), where d(m) is the number of positive divisors of m and p(n) is the n-th prime. a(0) = floor((d(1) + d(2))/2).

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

[1, 2, 2, 3, 3, 4, 3, 4, 4, 4, 5, 4, 4, 5, 4, 5, 5, 7, 5, 5, 7, 5, 5, 5, 6, 5, 5, 5, 7, 6, 5, 5, 6, 5, 6, 7, 6, 6, 5, 6, 5, 10, 6, 8, 5, 7, 6, 6, 6, 7, 6, 6, 11, 5, 7, 6, 6, 9, 7, 7, 5, 6, 7, 6, 9, 6, 7, 7, 6, 7, 8, 5, 7, 7, 7, 5, 7, 8, 7, 7, 6, 13, 6, 11, 6, 8, 6, 7, 6, 9, 6, 7, 8, 6, 7, 5, 8, 7, 7, 7, 7, 6, 8]

cp's OEIS Frontend

A139141 For n>=1, a(n) = floor((d(p(n)+1) + d(p(n)+2) + d(p(n)+3) + ... +d(p(n+1)))/(p(n+1) - p(n))), where d(m) is the number of positive divisors of m and p(n) is the n-th prime. a(0) = floor((d(1) + d(2))/2).

Table of values

List of values

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

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

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