A074840 - cp's OEIS frontend

A074840 Numerators a(n) of fractions slowly converging to sqrt(2): let a(1) = 0, b(n) = n - a(n); if (a(n) + 1) / b(n) < sqrt(2), then a(n+1) = a(n) + 1, else a(n+1)= a(n).

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	3
7	4
8	4
9	5
10	5
11	6
12	7
13	7
14	8
15	8
16	9
17	9
18	10
19	11
20	11
21	12
22	12
23	13
24	14
25	14
26	15
27	15
28	16
29	16
30	17
31	18
32	18
33	19
34	19
35	20
36	21
37	21
38	22
39	22
40	23
41	24
42	24
43	25
44	25
45	26
46	26
47	27
48	28
49	28
50	29
51	29
52	30
53	31
54	31
55	32
56	32
57	33
58	33
59	34
60	35
61	35
62	36
63	36
64	37
65	38
66	38
67	39
68	39
69	40
70	41
71	41
72	42
73	42
74	43
75	43

[0, 1, 1, 2, 2, 3, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9, 9, 10, 11, 11, 12, 12, 13, 14, 14, 15, 15, 16, 16, 17, 18, 18, 19, 19, 20, 21, 21, 22, 22, 23, 24, 24, 25, 25, 26, 26, 27, 28, 28, 29, 29, 30, 31, 31, 32, 32, 33, 33, 34, 35, 35, 36, 36, 37, 38, 38, 39, 39, 40, 41, 41, 42, 42, 43, 43]

cp's OEIS Frontend

A074840 Numerators a(n) of fractions slowly converging to sqrt(2): let a(1) = 0, b(n) = n - a(n); if (a(n) + 1) / b(n) < sqrt(2), then a(n+1) = a(n) + 1, else a(n+1)= a(n).

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	3
7	4
8	4
9	5
10	5
11	6
12	7
13	7
14	8
15	8
16	9
17	9
18	10
19	11
20	11
21	12
22	12
23	13
24	14
25	14
26	15
27	15
28	16
29	16
30	17
31	18
32	18
33	19
34	19
35	20
36	21
37	21
38	22
39	22
40	23
41	24
42	24
43	25
44	25
45	26
46	26
47	27
48	28
49	28
50	29
51	29
52	30
53	31
54	31
55	32
56	32
57	33
58	33
59	34
60	35
61	35
62	36
63	36
64	37
65	38
66	38
67	39
68	39
69	40
70	41
71	41
72	42
73	42
74	43
75	43

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	3
7	4
8	4
9	5
10	5
11	6
12	7
13	7
14	8
15	8
16	9
17	9
18	10
19	11
20	11
21	12
22	12
23	13
24	14
25	14
26	15
27	15
28	16
29	16
30	17
31	18
32	18
33	19
34	19
35	20
36	21
37	21
38	22
39	22
40	23
41	24
42	24
43	25
44	25
45	26
46	26
47	27
48	28
49	28
50	29
51	29
52	30
53	31
54	31
55	32
56	32
57	33
58	33
59	34
60	35
61	35
62	36
63	36
64	37
65	38
66	38
67	39
68	39
69	40
70	41
71	41
72	42
73	42
74	43
75	43

n	a(n)
1	0
2	1
3	1
4	2
5	2
6	3
7	4
8	4
9	5
10	5
11	6
12	7
13	7
14	8
15	8
16	9
17	9
18	10
19	11
20	11
21	12
22	12
23	13
24	14
25	14
26	15
27	15
28	16
29	16
30	17
31	18
32	18
33	19
34	19
35	20
36	21
37	21
38	22
39	22
40	23
41	24
42	24
43	25
44	25
45	26
46	26
47	27
48	28
49	28
50	29
51	29
52	30
53	31
54	31
55	32
56	32
57	33
58	33
59	34
60	35
61	35
62	36
63	36
64	37
65	38
66	38
67	39
68	39
69	40
70	41
71	41
72	42
73	42
74	43
75	43