A230418 - cp's OEIS frontend

A230418 a(n) = the least k such that after having climbed k steps up from the root of the infinite trunk of the factorial beanstalk we have reached integer which is at least n.

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

[0, 1, 2, 3, 3, 3, 4, 4, 5, 5, 5, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20]

cp's OEIS Frontend

A230418 a(n) = the least k such that after having climbed k steps up from the root of the infinite trunk of the factorial beanstalk we have reached integer which is at least n.

Table of values

List of values

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

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

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