A139140 - cp's OEIS frontend

A139140 For n>=1, a(n) = d(prime(n)+1) + d(prime(n)+2) + d(prime(n)+3) + ... + d(prime(n+1)), where d(m) is the number of positive divisors of m and prime(n) is the n-th prime. a(0) = d(1) + d(2).

n	a(n)
0	3
1	2
2	5
3	6
4	13
5	8
6	15
7	8
8	16
9	27
10	10
11	29
12	18
13	10
14	18
15	31
16	30
17	14
18	31
19	20
20	14
21	30
22	21
23	34
24	48
25	23
26	10
27	22
28	14
29	24
30	83
31	22
32	38
33	10
34	61
35	14
36	40
37	36
38	20
39	41
40	34
41	20
42	60
43	16
44	23
45	14
46	82
47	72
48	27
49	14
50	26
51	36
52	22
53	58
54	45
55	36
56	40
57	18
58	42
59	28
60	10
61	67
62	98
63	26
64	18
65	24
66	101
67	42
68	64
69	14
70	34

[3, 2, 5, 6, 13, 8, 15, 8, 16, 27, 10, 29, 18, 10, 18, 31, 30, 14, 31, 20, 14, 30, 21, 34, 48, 23, 10, 22, 14, 24, 83, 22, 38, 10, 61, 14, 40, 36, 20, 41, 34, 20, 60, 16, 23, 14, 82, 72, 27, 14, 26, 36, 22, 58, 45, 36, 40, 18, 42, 28, 10, 67, 98, 26, 18, 24, 101, 42, 64, 14, 34]

cp's OEIS Frontend

A139140 For n>=1, a(n) = d(prime(n)+1) + d(prime(n)+2) + d(prime(n)+3) + ... + d(prime(n+1)), where d(m) is the number of positive divisors of m and prime(n) is the n-th prime. a(0) = d(1) + d(2).

Table of values

List of values

n	a(n)
0	3
1	2
2	5
3	6
4	13
5	8
6	15
7	8
8	16
9	27
10	10
11	29
12	18
13	10
14	18
15	31
16	30
17	14
18	31
19	20
20	14
21	30
22	21
23	34
24	48
25	23
26	10
27	22
28	14
29	24
30	83
31	22
32	38
33	10
34	61
35	14
36	40
37	36
38	20
39	41
40	34
41	20
42	60
43	16
44	23
45	14
46	82
47	72
48	27
49	14
50	26
51	36
52	22
53	58
54	45
55	36
56	40
57	18
58	42
59	28
60	10
61	67
62	98
63	26
64	18
65	24
66	101
67	42
68	64
69	14
70	34

n	a(n)
0	3
1	2
2	5
3	6
4	13
5	8
6	15
7	8
8	16
9	27
10	10
11	29
12	18
13	10
14	18
15	31
16	30
17	14
18	31
19	20
20	14
21	30
22	21
23	34
24	48
25	23
26	10
27	22
28	14
29	24
30	83
31	22
32	38
33	10
34	61
35	14
36	40
37	36
38	20
39	41
40	34
41	20
42	60
43	16
44	23
45	14
46	82
47	72
48	27
49	14
50	26
51	36
52	22
53	58
54	45
55	36
56	40
57	18
58	42
59	28
60	10
61	67
62	98
63	26
64	18
65	24
66	101
67	42
68	64
69	14
70	34

n	a(n)
0	3
1	2
2	5
3	6
4	13
5	8
6	15
7	8
8	16
9	27
10	10
11	29
12	18
13	10
14	18
15	31
16	30
17	14
18	31
19	20
20	14
21	30
22	21
23	34
24	48
25	23
26	10
27	22
28	14
29	24
30	83
31	22
32	38
33	10
34	61
35	14
36	40
37	36
38	20
39	41
40	34
41	20
42	60
43	16
44	23
45	14
46	82
47	72
48	27
49	14
50	26
51	36
52	22
53	58
54	45
55	36
56	40
57	18
58	42
59	28
60	10
61	67
62	98
63	26
64	18
65	24
66	101
67	42
68	64
69	14
70	34