A133614 - cp's OEIS frontend

A133614 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 4^A(k) == A(k) (mod 10^k).

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

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

cp's OEIS Frontend

A133614 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 4^A(k) == A(k) (mod 10^k).

Table of values

List of values

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

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

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