A293460 - cp's OEIS frontend

A293460 a(n) = Sum_{k=1..n} sign(omega(n+1) - omega(n)) (where omega(m) = A001221(m), the number of distinct primes dividing m).

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

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

cp's OEIS Frontend

A293460 a(n) = Sum_{k=1..n} sign(omega(n+1) - omega(n)) (where omega(m) = A001221(m), the number of distinct primes dividing m).

Table of values

List of values

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

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

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