A359276 - cp's OEIS frontend

A359276 a(n) = greatest integer k such that (n+k)! <= n^n.

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

[0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16]

cp's OEIS Frontend

A359276 a(n) = greatest integer k such that (n+k)! <= n^n.

Table of values

List of values

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

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

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