A133615 - cp's OEIS frontend

A133615 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 5^A(k) == A(k) (mod 10^k).

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

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

cp's OEIS Frontend

A133615 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 5^A(k) == A(k) (mod 10^k).

Table of values

List of values

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

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

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