A133613 - cp's OEIS frontend

A133613 Decimal digits such that for all k >= 1, the number A(k) := Sum_{n = 0..k-1} a(n)*10^n satisfies the congruence 3^A(k) == A(k) (mod 10^k).

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

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

cp's OEIS Frontend

A133613 Decimal digits such that for all k >= 1, the number A(k) := Sum_{n = 0..k-1} a(n)*10^n satisfies the congruence 3^A(k) == A(k) (mod 10^k).

Table of values

List of values

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

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

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