A292787 - cp's OEIS frontend

A292787 For n > 1, a(n) = least positive k, not a power of n, such that the digital sum of k in base n equals the digital sum of k^2 in base n.

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

[3, 2, 3, 4, 5, 3, 7, 8, 9, 5, 11, 4, 13, 7, 6, 16, 17, 9, 19, 5, 7, 11, 23, 9, 25, 13, 27, 8, 29, 6, 31, 32, 12, 17, 15, 9, 37, 19, 13, 16, 41, 7, 43, 12, 10, 23, 47, 16, 49, 25, 18, 13, 53, 27, 11, 8, 19, 29, 59, 16, 61, 31, 28, 64, 26, 12, 67, 17, 24, 15, 71]

cp's OEIS Frontend

A292787 For n > 1, a(n) = least positive k, not a power of n, such that the digital sum of k in base n equals the digital sum of k^2 in base n.

Table of values

List of values

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

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

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