A092243 - cp's OEIS frontend

A092243 Score at stage n in "tug of war" between prime gap increases vs. prime gap decreases: start with score = 0 at n = 1 and at stage n = k > 1, increase (resp. decrease) the score by 1 if the k-th prime gap is greater (resp. less) than the previous prime gap.

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	2
9	3
10	2
11	3
12	2
13	1
14	2
15	3
16	3
17	2
18	3
19	2
20	1
21	2
22	1
23	2
24	3
25	2
26	1
27	2
28	1
29	2
30	3
31	2
32	3
33	2
34	3
35	2
36	3
37	3
38	2
39	3
40	3
41	2
42	3
43	2
44	3
45	2
46	3
47	3
48	2
49	1
50	2
51	3
52	2
53	3
54	2
55	2
56	2
57	1
58	2
59	1
60	0
61	1
62	2
63	1
64	0
65	1
66	2
67	1
68	2
69	1
70	2
71	3
72	4
73	3
74	3
75	2
76	3
77	4
78	3
79	4
80	5
81	4
82	5
83	4
84	5
85	4
86	5
87	6
88	5
89	4
90	5
91	6
92	5
93	4
94	5
95	4
96	5
97	6
98	5
99	6
100	5
101	6
102	5
103	5
104	4
105	5

[0, 1, 1, 2, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 3, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 3, 2, 3, 2, 3, 3, 2, 3, 3, 2, 3, 2, 3, 2, 3, 3, 2, 1, 2, 3, 2, 3, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 3, 4, 3, 3, 2, 3, 4, 3, 4, 5, 4, 5, 4, 5, 4, 5, 6, 5, 4, 5, 6, 5, 4, 5, 4, 5, 6, 5, 6, 5, 6, 5, 5, 4, 5]

cp's OEIS Frontend

A092243 Score at stage n in "tug of war" between prime gap increases vs. prime gap decreases: start with score = 0 at n = 1 and at stage n = k > 1, increase (resp. decrease) the score by 1 if the k-th prime gap is greater (resp. less) than the previous prime gap.

Table of values

List of values

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	2
9	3
10	2
11	3
12	2
13	1
14	2
15	3
16	3
17	2
18	3
19	2
20	1
21	2
22	1
23	2
24	3
25	2
26	1
27	2
28	1
29	2
30	3
31	2
32	3
33	2
34	3
35	2
36	3
37	3
38	2
39	3
40	3
41	2
42	3
43	2
44	3
45	2
46	3
47	3
48	2
49	1
50	2
51	3
52	2
53	3
54	2
55	2
56	2
57	1
58	2
59	1
60	0
61	1
62	2
63	1
64	0
65	1
66	2
67	1
68	2
69	1
70	2
71	3
72	4
73	3
74	3
75	2
76	3
77	4
78	3
79	4
80	5
81	4
82	5
83	4
84	5
85	4
86	5
87	6
88	5
89	4
90	5
91	6
92	5
93	4
94	5
95	4
96	5
97	6
98	5
99	6
100	5
101	6
102	5
103	5
104	4
105	5

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	2
9	3
10	2
11	3
12	2
13	1
14	2
15	3
16	3
17	2
18	3
19	2
20	1
21	2
22	1
23	2
24	3
25	2
26	1
27	2
28	1
29	2
30	3
31	2
32	3
33	2
34	3
35	2
36	3
37	3
38	2
39	3
40	3
41	2
42	3
43	2
44	3
45	2
46	3
47	3
48	2
49	1
50	2
51	3
52	2
53	3
54	2
55	2
56	2
57	1
58	2
59	1
60	0
61	1
62	2
63	1
64	0
65	1
66	2
67	1
68	2
69	1
70	2
71	3
72	4
73	3
74	3
75	2
76	3
77	4
78	3
79	4
80	5
81	4
82	5
83	4
84	5
85	4
86	5
87	6
88	5
89	4
90	5
91	6
92	5
93	4
94	5
95	4
96	5
97	6
98	5
99	6
100	5
101	6
102	5
103	5
104	4
105	5

n	a(n)
1	0
2	1
3	1
4	2
5	1
6	2
7	1
8	2
9	3
10	2
11	3
12	2
13	1
14	2
15	3
16	3
17	2
18	3
19	2
20	1
21	2
22	1
23	2
24	3
25	2
26	1
27	2
28	1
29	2
30	3
31	2
32	3
33	2
34	3
35	2
36	3
37	3
38	2
39	3
40	3
41	2
42	3
43	2
44	3
45	2
46	3
47	3
48	2
49	1
50	2
51	3
52	2
53	3
54	2
55	2
56	2
57	1
58	2
59	1
60	0
61	1
62	2
63	1
64	0
65	1
66	2
67	1
68	2
69	1
70	2
71	3
72	4
73	3
74	3
75	2
76	3
77	4
78	3
79	4
80	5
81	4
82	5
83	4
84	5
85	4
86	5
87	6
88	5
89	4
90	5
91	6
92	5
93	4
94	5
95	4
96	5
97	6
98	5
99	6
100	5
101	6
102	5
103	5
104	4
105	5