A167383 - cp's OEIS frontend

A167383 Entropy like stair step sequence based on A008185: a(n)=a(n-1)+Ceiling[ -(A008185[n + 2]/A008185[n + 1])*Log[(A008185[n + 2]/A008185[n + 1])]/Log[2]].

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	2
15	2
16	2
17	2
18	2
19	2
20	2
21	2
22	2
23	3
24	3
25	3
26	3
27	3
28	3
29	3
30	4
31	4
32	4
33	4
34	5
35	5
36	5
37	6
38	6
39	6
40	6
41	6
42	6
43	6
44	6
45	6
46	6
47	7
48	7
49	7
50	8
51	9
52	9
53	9
54	10
55	10
56	11
57	11
58	11
59	11
60	11
61	11
62	12
63	13
64	13
65	14
66	15
67	15
68	15
69	16
70	16
71	16
72	17
73	17
74	18
75	18
76	19
77	19
78	19
79	19
80	20
81	20
82	20
83	21
84	21
85	21
86	21
87	22

[0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 11, 12, 13, 13, 14, 15, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22]

cp's OEIS Frontend

A167383 Entropy like stair step sequence based on A008185: a(n)=a(n-1)+Ceiling[ -(A008185[n + 2]/A008185[n + 1])*Log[(A008185[n + 2]/A008185[n + 1])]/Log[2]].

Table of values

List of values

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	2
15	2
16	2
17	2
18	2
19	2
20	2
21	2
22	2
23	3
24	3
25	3
26	3
27	3
28	3
29	3
30	4
31	4
32	4
33	4
34	5
35	5
36	5
37	6
38	6
39	6
40	6
41	6
42	6
43	6
44	6
45	6
46	6
47	7
48	7
49	7
50	8
51	9
52	9
53	9
54	10
55	10
56	11
57	11
58	11
59	11
60	11
61	11
62	12
63	13
64	13
65	14
66	15
67	15
68	15
69	16
70	16
71	16
72	17
73	17
74	18
75	18
76	19
77	19
78	19
79	19
80	20
81	20
82	20
83	21
84	21
85	21
86	21
87	22

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	2
15	2
16	2
17	2
18	2
19	2
20	2
21	2
22	2
23	3
24	3
25	3
26	3
27	3
28	3
29	3
30	4
31	4
32	4
33	4
34	5
35	5
36	5
37	6
38	6
39	6
40	6
41	6
42	6
43	6
44	6
45	6
46	6
47	7
48	7
49	7
50	8
51	9
52	9
53	9
54	10
55	10
56	11
57	11
58	11
59	11
60	11
61	11
62	12
63	13
64	13
65	14
66	15
67	15
68	15
69	16
70	16
71	16
72	17
73	17
74	18
75	18
76	19
77	19
78	19
79	19
80	20
81	20
82	20
83	21
84	21
85	21
86	21
87	22

n	a(n)
0	0
1	1
2	1
3	1
4	1
5	1
6	1
7	1
8	1
9	1
10	1
11	1
12	1
13	1
14	2
15	2
16	2
17	2
18	2
19	2
20	2
21	2
22	2
23	3
24	3
25	3
26	3
27	3
28	3
29	3
30	4
31	4
32	4
33	4
34	5
35	5
36	5
37	6
38	6
39	6
40	6
41	6
42	6
43	6
44	6
45	6
46	6
47	7
48	7
49	7
50	8
51	9
52	9
53	9
54	10
55	10
56	11
57	11
58	11
59	11
60	11
61	11
62	12
63	13
64	13
65	14
66	15
67	15
68	15
69	16
70	16
71	16
72	17
73	17
74	18
75	18
76	19
77	19
78	19
79	19
80	20
81	20
82	20
83	21
84	21
85	21
86	21
87	22