A305054 - cp's OEIS frontend

A305054 If n = Product_i prime(x_i)^k_i, then a(n) = Sum_i k_i * omega(x_i), where omega = A001221 is number of distinct prime factors.

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

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

cp's OEIS Frontend

A305054 If n = Product_i prime(x_i)^k_i, then a(n) = Sum_i k_i * omega(x_i), where omega = A001221 is number of distinct prime factors.

Table of values

List of values

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

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

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