A303711 - cp's OEIS frontend

A303711 For any n > 0 and f > 0, let d_f(n) be the distance from n to the nearest number congruent mod f! to some divisor of f!; a(n) = Sum_{i > 0} d_i(n).

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

[0, 0, 0, 1, 2, 0, 3, 0, 2, 3, 8, 0, 9, 4, 3, 6, 19, 8, 19, 4, 5, 11, 20, 0, 5, 12, 8, 5, 26, 0, 27, 6, 12, 19, 8, 4, 35, 24, 11, 5, 42, 10, 46, 13, 8, 26, 50, 8, 17, 18, 28, 29, 64, 16, 15, 8, 19, 41, 56, 0, 57, 30, 9, 14, 23, 27, 85, 36, 31, 15, 78, 12, 80]

cp's OEIS Frontend

A303711 For any n > 0 and f > 0, let d_f(n) be the distance from n to the nearest number congruent mod f! to some divisor of f!; a(n) = Sum_{i > 0} d_i(n).

Table of values

List of values

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

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

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