A144544 - cp's OEIS frontend

A144544 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 16^A(k) == A(k) mod 10^k.

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

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

cp's OEIS Frontend

A144544 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 16^A(k) == A(k) mod 10^k.

Table of values

List of values

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

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

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