A133619 - cp's OEIS frontend

A133619 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 9^A(k) == A(k) (mod 10^k).

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

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

cp's OEIS Frontend

A133619 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 9^A(k) == A(k) (mod 10^k).

Table of values

List of values

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

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

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