A076538 - cp's OEIS frontend

A076538 Numerators a(n) of fractions slowly converging to e: let a(1) = 0, b(n) = n - a(n); if (a(n) + 1) / b(n) < e then a(n+1) = a(n) + 1, else a(n+1)= a(n).

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

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

cp's OEIS Frontend

A076538 Numerators a(n) of fractions slowly converging to e: let a(1) = 0, b(n) = n - a(n); if (a(n) + 1) / b(n) < e 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	2
4	2
5	3
6	4
7	5
8	5
9	6
10	7
11	8
12	8
13	9
14	10
15	10
16	11
17	12
18	13
19	13
20	14
21	15
22	16
23	16
24	17
25	18
26	19
27	19
28	20
29	21
30	21
31	22
32	23
33	24
34	24
35	25
36	26
37	27
38	27
39	28
40	29
41	29
42	30
43	31
44	32
45	32
46	33
47	34
48	35
49	35
50	36
51	37
52	38
53	38
54	39
55	40
56	40
57	41
58	42
59	43
60	43
61	44
62	45
63	46
64	46
65	47
66	48
67	48
68	49
69	50
70	51
71	51
72	52
73	53

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

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