A136617 - cp's OEIS frontend

A136617 a(n) = largest k such that the sum of k consecutive reciprocals 1/n + ... + 1/(n+k-1) does not exceed 1.

n	a(n)
1	1
2	2
3	4
4	6
5	7
6	9
7	11
8	12
9	14
10	16
11	18
12	19
13	21
14	23
15	24
16	26
17	28
18	30
19	31
20	33
21	35
22	36
23	38
24	40
25	42
26	43
27	45
28	47
29	48
30	50
31	52
32	54
33	55
34	57
35	59
36	61
37	62
38	64
39	66
40	67
41	69
42	71
43	73
44	74
45	76
46	78
47	79
48	81
49	83
50	85
51	86
52	88
53	90
54	91
55	93
56	95
57	97
58	98
59	100
60	102
61	103
62	105
63	107
64	109
65	110
66	112
67	114
68	115

[1, 2, 4, 6, 7, 9, 11, 12, 14, 16, 18, 19, 21, 23, 24, 26, 28, 30, 31, 33, 35, 36, 38, 40, 42, 43, 45, 47, 48, 50, 52, 54, 55, 57, 59, 61, 62, 64, 66, 67, 69, 71, 73, 74, 76, 78, 79, 81, 83, 85, 86, 88, 90, 91, 93, 95, 97, 98, 100, 102, 103, 105, 107, 109, 110, 112, 114, 115]

cp's OEIS Frontend

A136617 a(n) = largest k such that the sum of k consecutive reciprocals 1/n + ... + 1/(n+k-1) does not exceed 1.

Table of values

List of values

n	a(n)
1	1
2	2
3	4
4	6
5	7
6	9
7	11
8	12
9	14
10	16
11	18
12	19
13	21
14	23
15	24
16	26
17	28
18	30
19	31
20	33
21	35
22	36
23	38
24	40
25	42
26	43
27	45
28	47
29	48
30	50
31	52
32	54
33	55
34	57
35	59
36	61
37	62
38	64
39	66
40	67
41	69
42	71
43	73
44	74
45	76
46	78
47	79
48	81
49	83
50	85
51	86
52	88
53	90
54	91
55	93
56	95
57	97
58	98
59	100
60	102
61	103
62	105
63	107
64	109
65	110
66	112
67	114
68	115

n	a(n)
1	1
2	2
3	4
4	6
5	7
6	9
7	11
8	12
9	14
10	16
11	18
12	19
13	21
14	23
15	24
16	26
17	28
18	30
19	31
20	33
21	35
22	36
23	38
24	40
25	42
26	43
27	45
28	47
29	48
30	50
31	52
32	54
33	55
34	57
35	59
36	61
37	62
38	64
39	66
40	67
41	69
42	71
43	73
44	74
45	76
46	78
47	79
48	81
49	83
50	85
51	86
52	88
53	90
54	91
55	93
56	95
57	97
58	98
59	100
60	102
61	103
62	105
63	107
64	109
65	110
66	112
67	114
68	115

n	a(n)
1	1
2	2
3	4
4	6
5	7
6	9
7	11
8	12
9	14
10	16
11	18
12	19
13	21
14	23
15	24
16	26
17	28
18	30
19	31
20	33
21	35
22	36
23	38
24	40
25	42
26	43
27	45
28	47
29	48
30	50
31	52
32	54
33	55
34	57
35	59
36	61
37	62
38	64
39	66
40	67
41	69
42	71
43	73
44	74
45	76
46	78
47	79
48	81
49	83
50	85
51	86
52	88
53	90
54	91
55	93
56	95
57	97
58	98
59	100
60	102
61	103
62	105
63	107
64	109
65	110
66	112
67	114
68	115