A076539 - cp's OEIS frontend

A076539 Numerators a(n) of fractions slowly converging to Pi: let a(1) = 0, b(n) = n - a(n); if (a(n) + 1) / b(n) < Pi, then a(n+1) = a(n) + 1, otherwise a(n+1) = a(n).

n	a(n)
1	0
2	1
3	2
4	3
5	3
6	4
7	5
8	6
9	6
10	7
11	8
12	9
13	9
14	10
15	11
16	12
17	12
18	13
19	14
20	15
21	15
22	16
23	17
24	18
25	18
26	19
27	20
28	21
29	21
30	22
31	23
32	24
33	25
34	25
35	26
36	27
37	28
38	28
39	29
40	30
41	31
42	31
43	32
44	33
45	34
46	34
47	35
48	36
49	37
50	37
51	38
52	39
53	40
54	40
55	41
56	42
57	43
58	43
59	44
60	45
61	46
62	47
63	47
64	48
65	49
66	50
67	50
68	51
69	52
70	53
71	53
72	54
73	55

[0, 1, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9, 9, 10, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 21, 21, 22, 23, 24, 25, 25, 26, 27, 28, 28, 29, 30, 31, 31, 32, 33, 34, 34, 35, 36, 37, 37, 38, 39, 40, 40, 41, 42, 43, 43, 44, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 53, 53, 54, 55]

cp's OEIS Frontend

A076539 Numerators a(n) of fractions slowly converging to Pi: let a(1) = 0, b(n) = n - a(n); if (a(n) + 1) / b(n) < Pi, then a(n+1) = a(n) + 1, otherwise a(n+1) = a(n).

Table of values

List of values

n	a(n)
1	0
2	1
3	2
4	3
5	3
6	4
7	5
8	6
9	6
10	7
11	8
12	9
13	9
14	10
15	11
16	12
17	12
18	13
19	14
20	15
21	15
22	16
23	17
24	18
25	18
26	19
27	20
28	21
29	21
30	22
31	23
32	24
33	25
34	25
35	26
36	27
37	28
38	28
39	29
40	30
41	31
42	31
43	32
44	33
45	34
46	34
47	35
48	36
49	37
50	37
51	38
52	39
53	40
54	40
55	41
56	42
57	43
58	43
59	44
60	45
61	46
62	47
63	47
64	48
65	49
66	50
67	50
68	51
69	52
70	53
71	53
72	54
73	55

n	a(n)
1	0
2	1
3	2
4	3
5	3
6	4
7	5
8	6
9	6
10	7
11	8
12	9
13	9
14	10
15	11
16	12
17	12
18	13
19	14
20	15
21	15
22	16
23	17
24	18
25	18
26	19
27	20
28	21
29	21
30	22
31	23
32	24
33	25
34	25
35	26
36	27
37	28
38	28
39	29
40	30
41	31
42	31
43	32
44	33
45	34
46	34
47	35
48	36
49	37
50	37
51	38
52	39
53	40
54	40
55	41
56	42
57	43
58	43
59	44
60	45
61	46
62	47
63	47
64	48
65	49
66	50
67	50
68	51
69	52
70	53
71	53
72	54
73	55

n	a(n)
1	0
2	1
3	2
4	3
5	3
6	4
7	5
8	6
9	6
10	7
11	8
12	9
13	9
14	10
15	11
16	12
17	12
18	13
19	14
20	15
21	15
22	16
23	17
24	18
25	18
26	19
27	20
28	21
29	21
30	22
31	23
32	24
33	25
34	25
35	26
36	27
37	28
38	28
39	29
40	30
41	31
42	31
43	32
44	33
45	34
46	34
47	35
48	36
49	37
50	37
51	38
52	39
53	40
54	40
55	41
56	42
57	43
58	43
59	44
60	45
61	46
62	47
63	47
64	48
65	49
66	50
67	50
68	51
69	52
70	53
71	53
72	54
73	55