A133617 - cp's OEIS frontend

A133617 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 7^A(k) == A(k) (mod 10^k).

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

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

cp's OEIS Frontend

A133617 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 7^A(k) == A(k) (mod 10^k).

Table of values

List of values

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

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

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