A302558 - cp's OEIS frontend

A302558 For any n > 0 and m > 1, let d_m(n) be the distance from n to the nearest power of a number <= m (i.e., the distance to the nearest number of the form x^k with x <= m and k >= 0); a(n) = Sum_{i > 1} d_i(n).

n	a(n)
1	0
2	0
3	1
4	0
5	3
6	7
7	5
8	0
9	1
10	9
11	18
12	28
13	30
14	23
15	13
16	0
17	15
18	31
19	48
20	66
21	73
22	64
23	50
24	33
25	11
26	29
27	5
28	29
29	54
30	55
31	29
32	0
33	31
34	63
35	41
36	16
37	51
38	87
39	124
40	162
41	201
42	241
43	252
44	231
45	207
46	180
47	150
48	117
49	73
50	113
51	152
52	192
53	233
54	275
55	318
56	362
57	364
58	321
59	275
60	226
61	174
62	119
63	61

[0, 0, 1, 0, 3, 7, 5, 0, 1, 9, 18, 28, 30, 23, 13, 0, 15, 31, 48, 66, 73, 64, 50, 33, 11, 29, 5, 29, 54, 55, 29, 0, 31, 63, 41, 16, 51, 87, 124, 162, 201, 241, 252, 231, 207, 180, 150, 117, 73, 113, 152, 192, 233, 275, 318, 362, 364, 321, 275, 226, 174, 119, 61]

cp's OEIS Frontend

A302558 For any n > 0 and m > 1, let d_m(n) be the distance from n to the nearest power of a number <= m (i.e., the distance to the nearest number of the form x^k with x <= m and k >= 0); a(n) = Sum_{i > 1} d_i(n).

Table of values

List of values

n	a(n)
1	0
2	0
3	1
4	0
5	3
6	7
7	5
8	0
9	1
10	9
11	18
12	28
13	30
14	23
15	13
16	0
17	15
18	31
19	48
20	66
21	73
22	64
23	50
24	33
25	11
26	29
27	5
28	29
29	54
30	55
31	29
32	0
33	31
34	63
35	41
36	16
37	51
38	87
39	124
40	162
41	201
42	241
43	252
44	231
45	207
46	180
47	150
48	117
49	73
50	113
51	152
52	192
53	233
54	275
55	318
56	362
57	364
58	321
59	275
60	226
61	174
62	119
63	61

n	a(n)
1	0
2	0
3	1
4	0
5	3
6	7
7	5
8	0
9	1
10	9
11	18
12	28
13	30
14	23
15	13
16	0
17	15
18	31
19	48
20	66
21	73
22	64
23	50
24	33
25	11
26	29
27	5
28	29
29	54
30	55
31	29
32	0
33	31
34	63
35	41
36	16
37	51
38	87
39	124
40	162
41	201
42	241
43	252
44	231
45	207
46	180
47	150
48	117
49	73
50	113
51	152
52	192
53	233
54	275
55	318
56	362
57	364
58	321
59	275
60	226
61	174
62	119
63	61

n	a(n)
1	0
2	0
3	1
4	0
5	3
6	7
7	5
8	0
9	1
10	9
11	18
12	28
13	30
14	23
15	13
16	0
17	15
18	31
19	48
20	66
21	73
22	64
23	50
24	33
25	11
26	29
27	5
28	29
29	54
30	55
31	29
32	0
33	31
34	63
35	41
36	16
37	51
38	87
39	124
40	162
41	201
42	241
43	252
44	231
45	207
46	180
47	150
48	117
49	73
50	113
51	152
52	192
53	233
54	275
55	318
56	362
57	364
58	321
59	275
60	226
61	174
62	119
63	61