A039960 - cp's OEIS frontend

A039960 For n >= 2, a(n) = largest value of k such that n^k is <= n! (a(0) = a(1) = 1 by convention).

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

[1, 1, 1, 1, 2, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 11, 12, 13, 14, 14, 15, 16, 17, 18, 18, 19, 20, 21, 21, 22, 23, 24, 25, 25, 26, 27, 28, 29, 29, 30, 31, 32, 33, 33, 34, 35, 36, 37, 37, 38, 39, 40, 41, 42, 42, 43, 44, 45, 46, 46, 47, 48, 49, 50, 50, 51, 52, 53, 54, 55, 55, 56, 57]

cp's OEIS Frontend

A039960 For n >= 2, a(n) = largest value of k such that n^k is <= n! (a(0) = a(1) = 1 by convention).

Table of values

List of values

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

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

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