A348516 - cp's OEIS frontend

A348516 a(n) is the least positive integer k such that the base 3 representation of n^k contains equally many 1's and 2's, or 0 if no k with this property exists.

n	a(n)
0	1
1	0
2	7
3	0
4	16
5	1
6	7
7	1
8	22
9	0
10	16
11	1
12	16
13	6
14	2
15	1
16	8
17	6
18	7
19	1
20	4
21	1
22	66
23	9
24	22
25	3
26	2
27	0
28	15
29	1
30	16
31	2
32	32
33	1
34	6
35	9
36	16
37	2
38	11
39	6
40	19
41	13
42	2
43	13
44	1
45	1
46	10
47	22
48	8
49	2
50	1
51	6
52	1
53	159
54	7
55	1
56	20
57	1
58	3
59	6
60	4
61	2
62	15
63	1
64	11
65	3
66	66
67	6
68	1
69	9
70	1
71	6
72	22
73	2
74	4
75	3
76	1
77	2
78	2
79	2
80	6

[1, 0, 7, 0, 16, 1, 7, 1, 22, 0, 16, 1, 16, 6, 2, 1, 8, 6, 7, 1, 4, 1, 66, 9, 22, 3, 2, 0, 15, 1, 16, 2, 32, 1, 6, 9, 16, 2, 11, 6, 19, 13, 2, 13, 1, 1, 10, 22, 8, 2, 1, 6, 1, 159, 7, 1, 20, 1, 3, 6, 4, 2, 15, 1, 11, 3, 66, 6, 1, 9, 1, 6, 22, 2, 4, 3, 1, 2, 2, 2, 6]

cp's OEIS Frontend

A348516 a(n) is the least positive integer k such that the base 3 representation of n^k contains equally many 1's and 2's, or 0 if no k with this property exists.

Table of values

List of values

n	a(n)
0	1
1	0
2	7
3	0
4	16
5	1
6	7
7	1
8	22
9	0
10	16
11	1
12	16
13	6
14	2
15	1
16	8
17	6
18	7
19	1
20	4
21	1
22	66
23	9
24	22
25	3
26	2
27	0
28	15
29	1
30	16
31	2
32	32
33	1
34	6
35	9
36	16
37	2
38	11
39	6
40	19
41	13
42	2
43	13
44	1
45	1
46	10
47	22
48	8
49	2
50	1
51	6
52	1
53	159
54	7
55	1
56	20
57	1
58	3
59	6
60	4
61	2
62	15
63	1
64	11
65	3
66	66
67	6
68	1
69	9
70	1
71	6
72	22
73	2
74	4
75	3
76	1
77	2
78	2
79	2
80	6

n	a(n)
0	1
1	0
2	7
3	0
4	16
5	1
6	7
7	1
8	22
9	0
10	16
11	1
12	16
13	6
14	2
15	1
16	8
17	6
18	7
19	1
20	4
21	1
22	66
23	9
24	22
25	3
26	2
27	0
28	15
29	1
30	16
31	2
32	32
33	1
34	6
35	9
36	16
37	2
38	11
39	6
40	19
41	13
42	2
43	13
44	1
45	1
46	10
47	22
48	8
49	2
50	1
51	6
52	1
53	159
54	7
55	1
56	20
57	1
58	3
59	6
60	4
61	2
62	15
63	1
64	11
65	3
66	66
67	6
68	1
69	9
70	1
71	6
72	22
73	2
74	4
75	3
76	1
77	2
78	2
79	2
80	6

n	a(n)
0	1
1	0
2	7
3	0
4	16
5	1
6	7
7	1
8	22
9	0
10	16
11	1
12	16
13	6
14	2
15	1
16	8
17	6
18	7
19	1
20	4
21	1
22	66
23	9
24	22
25	3
26	2
27	0
28	15
29	1
30	16
31	2
32	32
33	1
34	6
35	9
36	16
37	2
38	11
39	6
40	19
41	13
42	2
43	13
44	1
45	1
46	10
47	22
48	8
49	2
50	1
51	6
52	1
53	159
54	7
55	1
56	20
57	1
58	3
59	6
60	4
61	2
62	15
63	1
64	11
65	3
66	66
67	6
68	1
69	9
70	1
71	6
72	22
73	2
74	4
75	3
76	1
77	2
78	2
79	2
80	6