A075428 - cp's OEIS frontend

A075428 Number of steps to reach the first integer (= A075429(n)) starting with 1 + 2/(n(n+1)) and iterating the map x -> xceiling(x), or -1 if no integer is ever reached.

n	a(n)
1	0
2	2
3	2
4	7
5	4
6	3
7	4
8	8
9	7
10	41
11	15
12	15
13	18
14	10
15	8
16	17
17	10
18	12
19	10
20	5
21	9
22	9
23	10
24	11
25	14
26	39
27	12
28	33
29	65
30	9
31	31
32	6
33	23
34	26
35	6
36	71
37	98
38	22
39	43
40	20
41	26
42	4
43	33
44	12
45	36
46	128
47	43
48	18
49	10
50	81
51	28
52	54
53	24
54	12
55	8
56	38
57	19
58	10
59	41
60	36
61	83
62	32
63	9
64	9
65	12
66	13
67	60
68	58
69	19
70	32

[0, 2, 2, 7, 4, 3, 4, 8, 7, 41, 15, 15, 18, 10, 8, 17, 10, 12, 10, 5, 9, 9, 10, 11, 14, 39, 12, 33, 65, 9, 31, 6, 23, 26, 6, 71, 98, 22, 43, 20, 26, 4, 33, 12, 36, 128, 43, 18, 10, 81, 28, 54, 24, 12, 8, 38, 19, 10, 41, 36, 83, 32, 9, 9, 12, 13, 60, 58, 19, 32]

cp's OEIS Frontend

A075428 Number of steps to reach the first integer (= A075429(n)) starting with 1 + 2/(n(n+1)) and iterating the map x -> xceiling(x), or -1 if no integer is ever reached.

Table of values

List of values

n	a(n)
1	0
2	2
3	2
4	7
5	4
6	3
7	4
8	8
9	7
10	41
11	15
12	15
13	18
14	10
15	8
16	17
17	10
18	12
19	10
20	5
21	9
22	9
23	10
24	11
25	14
26	39
27	12
28	33
29	65
30	9
31	31
32	6
33	23
34	26
35	6
36	71
37	98
38	22
39	43
40	20
41	26
42	4
43	33
44	12
45	36
46	128
47	43
48	18
49	10
50	81
51	28
52	54
53	24
54	12
55	8
56	38
57	19
58	10
59	41
60	36
61	83
62	32
63	9
64	9
65	12
66	13
67	60
68	58
69	19
70	32

n	a(n)
1	0
2	2
3	2
4	7
5	4
6	3
7	4
8	8
9	7
10	41
11	15
12	15
13	18
14	10
15	8
16	17
17	10
18	12
19	10
20	5
21	9
22	9
23	10
24	11
25	14
26	39
27	12
28	33
29	65
30	9
31	31
32	6
33	23
34	26
35	6
36	71
37	98
38	22
39	43
40	20
41	26
42	4
43	33
44	12
45	36
46	128
47	43
48	18
49	10
50	81
51	28
52	54
53	24
54	12
55	8
56	38
57	19
58	10
59	41
60	36
61	83
62	32
63	9
64	9
65	12
66	13
67	60
68	58
69	19
70	32

cp's OEIS Frontend

A075428 Number of steps to reach the first integer (= A075429(n)) starting with 1 + 2/(n*(n+1)) and iterating the map x -> x*ceiling(x), or -1 if no integer is ever reached.

Table of values

List of values

A075428 Number of steps to reach the first integer (= A075429(n)) starting with 1 + 2/(n(n+1)) and iterating the map x -> xceiling(x), or -1 if no integer is ever reached.

n	a(n)
1	0
2	2
3	2
4	7
5	4
6	3
7	4
8	8
9	7
10	41
11	15
12	15
13	18
14	10
15	8
16	17
17	10
18	12
19	10
20	5
21	9
22	9
23	10
24	11
25	14
26	39
27	12
28	33
29	65
30	9
31	31
32	6
33	23
34	26
35	6
36	71
37	98
38	22
39	43
40	20
41	26
42	4
43	33
44	12
45	36
46	128
47	43
48	18
49	10
50	81
51	28
52	54
53	24
54	12
55	8
56	38
57	19
58	10
59	41
60	36
61	83
62	32
63	9
64	9
65	12
66	13
67	60
68	58
69	19
70	32