A280242 - cp's OEIS frontend

A280242 Expansion of (Sum_{k>=2} floor(1/omega(k))*x^k)^2, where omega(k) is the number of distinct prime factors (A001221).

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

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

cp's OEIS Frontend

A280242 Expansion of (Sum_{k>=2} floor(1/omega(k))*x^k)^2, where omega(k) is the number of distinct prime factors (A001221).

Table of values

List of values

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

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

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