A113472 - cp's OEIS frontend

A113472 If d(n) is the sequence of prime differences prime(n+1) - prime(n), then a(n) is the subsequence of d(n) such that d(n) is a power.

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

[1, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 8, 4, 8, 4, 8, 4, 4, 8, 4, 8, 4, 4, 4, 4, 8, 8, 8, 4, 8, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 8, 4, 4, 8, 4, 4, 4, 8, 4, 8, 4, 8, 4, 4, 4, 4, 4, 8, 4, 8, 16, 4, 4, 16, 8, 4, 4, 8, 4, 16, 4, 8, 4, 8, 16, 4, 8]

cp's OEIS Frontend

A113472 If d(n) is the sequence of prime differences prime(n+1) - prime(n), then a(n) is the subsequence of d(n) such that d(n) is a power.

Table of values

List of values

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

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

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