A072894 - cp's OEIS frontend

A072894 Let c(k) be defined as follows: c(1)=1, c(2)=n, c(k+2) = c(k+1)/2 + c(k)/2 if c(k+1) and c(k) have the same parity; c(k+2) = c(k+1)/2 + c(k)/2 + 1/2 otherwise; a(n) = limit_{ k -> infinity} c(k).

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

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

cp's OEIS Frontend

A072894 Let c(k) be defined as follows: c(1)=1, c(2)=n, c(k+2) = c(k+1)/2 + c(k)/2 if c(k+1) and c(k) have the same parity; c(k+2) = c(k+1)/2 + c(k)/2 + 1/2 otherwise; a(n) = limit_{ k -> infinity} c(k).

Table of values

List of values

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

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

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