A163160 - cp's OEIS frontend

A163160 a(n) = A162996(n) - R_n = round(kn * (log(kn)+1)) - R_n, with k = 2.216 and R_n = n-th Ramanujan Prime A104272(n) and where Abs(a(n)) < 2 * sqrt(A162996(n)) for n in [1..1000].

n	a(n)
1	2
2	0
3	2
4	-1
5	-3
6	1
7	-1
8	2
9	9
10	-6
11	1
12	7
13	-1
14	-11
15	-1
16	-5
17	-5
18	6
19	-27
20	-17
21	-8
22	-1
23	10
24	2
25	9
26	10
27	-2
28	7
29	-15
30	-4
31	-8
32	0
33	-14
34	-8
35	-4
36	-2
37	10
38	19
39	11
40	-1
41	10
42	12
43	-39
44	-27
45	-28
46	-20
47	-11
48	2
49	11
50	-9
51	4
52	15
53	24
54	33
55	30
56	3
57	11
58	14
59	17
60	14
61	-11
62	-7
63	6
64	18
65	7
66	18
67	10
68	-31
69	-19
70	-9
71	-14

[2, 0, 2, -1, -3, 1, -1, 2, 9, -6, 1, 7, -1, -11, -1, -5, -5, 6, -27, -17, -8, -1, 10, 2, 9, 10, -2, 7, -15, -4, -8, 0, -14, -8, -4, -2, 10, 19, 11, -1, 10, 12, -39, -27, -28, -20, -11, 2, 11, -9, 4, 15, 24, 33, 30, 3, 11, 14, 17, 14, -11, -7, 6, 18, 7, 18, 10, -31, -19, -9, -14]

cp's OEIS Frontend

A163160 a(n) = A162996(n) - R_n = round(kn * (log(kn)+1)) - R_n, with k = 2.216 and R_n = n-th Ramanujan Prime A104272(n) and where Abs(a(n)) < 2 * sqrt(A162996(n)) for n in [1..1000].

Table of values

List of values

n	a(n)
1	2
2	0
3	2
4	-1
5	-3
6	1
7	-1
8	2
9	9
10	-6
11	1
12	7
13	-1
14	-11
15	-1
16	-5
17	-5
18	6
19	-27
20	-17
21	-8
22	-1
23	10
24	2
25	9
26	10
27	-2
28	7
29	-15
30	-4
31	-8
32	0
33	-14
34	-8
35	-4
36	-2
37	10
38	19
39	11
40	-1
41	10
42	12
43	-39
44	-27
45	-28
46	-20
47	-11
48	2
49	11
50	-9
51	4
52	15
53	24
54	33
55	30
56	3
57	11
58	14
59	17
60	14
61	-11
62	-7
63	6
64	18
65	7
66	18
67	10
68	-31
69	-19
70	-9
71	-14

n	a(n)
1	2
2	0
3	2
4	-1
5	-3
6	1
7	-1
8	2
9	9
10	-6
11	1
12	7
13	-1
14	-11
15	-1
16	-5
17	-5
18	6
19	-27
20	-17
21	-8
22	-1
23	10
24	2
25	9
26	10
27	-2
28	7
29	-15
30	-4
31	-8
32	0
33	-14
34	-8
35	-4
36	-2
37	10
38	19
39	11
40	-1
41	10
42	12
43	-39
44	-27
45	-28
46	-20
47	-11
48	2
49	11
50	-9
51	4
52	15
53	24
54	33
55	30
56	3
57	11
58	14
59	17
60	14
61	-11
62	-7
63	6
64	18
65	7
66	18
67	10
68	-31
69	-19
70	-9
71	-14

n	a(n)
1	2
2	0
3	2
4	-1
5	-3
6	1
7	-1
8	2
9	9
10	-6
11	1
12	7
13	-1
14	-11
15	-1
16	-5
17	-5
18	6
19	-27
20	-17
21	-8
22	-1
23	10
24	2
25	9
26	10
27	-2
28	7
29	-15
30	-4
31	-8
32	0
33	-14
34	-8
35	-4
36	-2
37	10
38	19
39	11
40	-1
41	10
42	12
43	-39
44	-27
45	-28
46	-20
47	-11
48	2
49	11
50	-9
51	4
52	15
53	24
54	33
55	30
56	3
57	11
58	14
59	17
60	14
61	-11
62	-7
63	6
64	18
65	7
66	18
67	10
68	-31
69	-19
70	-9
71	-14