A133618 - cp's OEIS frontend

A133618 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 8^A(k) == A(k) (mod 10^k).

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

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

cp's OEIS Frontend

A133618 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 8^A(k) == A(k) (mod 10^k).

Table of values

List of values

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

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

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