A133616 - cp's OEIS frontend

A133616 Unique sequence of digits a(0), a(1), a(2), ... such that for all k >= 2, the number A(k) := Sum_{n = 0..k-1} a(n)*10^n satisfies 6^A(k) == A(k) (mod 10^k).

n	a(n)
0	6
1	5
2	6
3	8
4	3
5	2
6	7
7	4
8	4
9	7
10	2
11	2
12	3
13	9
14	5
15	5
16	6
17	9
18	7
19	6
20	7
21	3
22	2
23	1
24	9
25	6
26	0
27	1
28	7
29	5
30	0
31	6
32	0
33	5
34	8
35	6
36	9
37	1
38	8
39	0
40	1
41	3
42	7
43	9
44	4
45	6
46	0
47	4
48	4
49	7
50	0
51	4
52	6
53	4
54	0
55	2
56	4
57	6
58	3
59	7
60	8
61	1
62	6
63	7
64	0
65	8
66	5
67	0
68	1
69	4
70	3
71	4
72	4
73	4
74	1
75	8
76	5
77	7
78	5
79	9
80	7
81	0
82	0
83	4
84	2
85	9
86	6
87	3
88	4
89	1
90	8
91	9
92	6
93	0
94	9
95	8
96	4
97	5
98	7
99	0
100	3
101	5
102	0
103	8
104	6

[6, 5, 6, 8, 3, 2, 7, 4, 4, 7, 2, 2, 3, 9, 5, 5, 6, 9, 7, 6, 7, 3, 2, 1, 9, 6, 0, 1, 7, 5, 0, 6, 0, 5, 8, 6, 9, 1, 8, 0, 1, 3, 7, 9, 4, 6, 0, 4, 4, 7, 0, 4, 6, 4, 0, 2, 4, 6, 3, 7, 8, 1, 6, 7, 0, 8, 5, 0, 1, 4, 3, 4, 4, 4, 1, 8, 5, 7, 5, 9, 7, 0, 0, 4, 2, 9, 6, 3, 4, 1, 8, 9, 6, 0, 9, 8, 4, 5, 7, 0, 3, 5, 0, 8, 6]

cp's OEIS Frontend

A133616 Unique sequence of digits a(0), a(1), a(2), ... such that for all k >= 2, the number A(k) := Sum_{n = 0..k-1} a(n)*10^n satisfies 6^A(k) == A(k) (mod 10^k).

Table of values

List of values

n	a(n)
0	6
1	5
2	6
3	8
4	3
5	2
6	7
7	4
8	4
9	7
10	2
11	2
12	3
13	9
14	5
15	5
16	6
17	9
18	7
19	6
20	7
21	3
22	2
23	1
24	9
25	6
26	0
27	1
28	7
29	5
30	0
31	6
32	0
33	5
34	8
35	6
36	9
37	1
38	8
39	0
40	1
41	3
42	7
43	9
44	4
45	6
46	0
47	4
48	4
49	7
50	0
51	4
52	6
53	4
54	0
55	2
56	4
57	6
58	3
59	7
60	8
61	1
62	6
63	7
64	0
65	8
66	5
67	0
68	1
69	4
70	3
71	4
72	4
73	4
74	1
75	8
76	5
77	7
78	5
79	9
80	7
81	0
82	0
83	4
84	2
85	9
86	6
87	3
88	4
89	1
90	8
91	9
92	6
93	0
94	9
95	8
96	4
97	5
98	7
99	0
100	3
101	5
102	0
103	8
104	6

n	a(n)
0	6
1	5
2	6
3	8
4	3
5	2
6	7
7	4
8	4
9	7
10	2
11	2
12	3
13	9
14	5
15	5
16	6
17	9
18	7
19	6
20	7
21	3
22	2
23	1
24	9
25	6
26	0
27	1
28	7
29	5
30	0
31	6
32	0
33	5
34	8
35	6
36	9
37	1
38	8
39	0
40	1
41	3
42	7
43	9
44	4
45	6
46	0
47	4
48	4
49	7
50	0
51	4
52	6
53	4
54	0
55	2
56	4
57	6
58	3
59	7
60	8
61	1
62	6
63	7
64	0
65	8
66	5
67	0
68	1
69	4
70	3
71	4
72	4
73	4
74	1
75	8
76	5
77	7
78	5
79	9
80	7
81	0
82	0
83	4
84	2
85	9
86	6
87	3
88	4
89	1
90	8
91	9
92	6
93	0
94	9
95	8
96	4
97	5
98	7
99	0
100	3
101	5
102	0
103	8
104	6

n	a(n)
0	6
1	5
2	6
3	8
4	3
5	2
6	7
7	4
8	4
9	7
10	2
11	2
12	3
13	9
14	5
15	5
16	6
17	9
18	7
19	6
20	7
21	3
22	2
23	1
24	9
25	6
26	0
27	1
28	7
29	5
30	0
31	6
32	0
33	5
34	8
35	6
36	9
37	1
38	8
39	0
40	1
41	3
42	7
43	9
44	4
45	6
46	0
47	4
48	4
49	7
50	0
51	4
52	6
53	4
54	0
55	2
56	4
57	6
58	3
59	7
60	8
61	1
62	6
63	7
64	0
65	8
66	5
67	0
68	1
69	4
70	3
71	4
72	4
73	4
74	1
75	8
76	5
77	7
78	5
79	9
80	7
81	0
82	0
83	4
84	2
85	9
86	6
87	3
88	4
89	1
90	8
91	9
92	6
93	0
94	9
95	8
96	4
97	5
98	7
99	0
100	3
101	5
102	0
103	8
104	6