A144541 - cp's OEIS frontend

A144541 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 13^A(k) == A(k) mod 10^k.

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

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

cp's OEIS Frontend

A144541 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 13^A(k) == A(k) mod 10^k.

Table of values

List of values

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

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

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