A075357 - cp's OEIS frontend

A075357 a(n) = smallest k such that (n+1)(n+2)...(n+k) >= n!.

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

[0, 1, 2, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 10, 11, 11, 12, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20, 21, 21, 22, 23, 24, 24, 25, 26, 27, 27, 28, 29, 30, 30, 31, 32, 33, 33, 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]

cp's OEIS Frontend

A075357 a(n) = smallest k such that (n+1)(n+2)...(n+k) >= n!.

Table of values

List of values

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

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

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