A054073 - cp's OEIS frontend

A054073 Fractal sequence induced by sqrt(2): for k >= 1 let p(k) be the permutation of 1,2,...,k obtained by ordering the fractional parts {h*sqrt(2)} for h=1,2,...,k; then juxtapose p(1),p(2),p(3),...

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

[1, 1, 2, 3, 1, 2, 3, 1, 4, 2, 5, 3, 1, 4, 2, 5, 3, 1, 6, 4, 2, 5, 3, 1, 6, 4, 2, 7, 5, 3, 8, 1, 6, 4, 2, 7, 5, 3, 8, 1, 6, 4, 9, 2, 7, 5, 10, 3, 8, 1, 6, 4, 9, 2, 7, 5, 10, 3, 8, 1, 6, 11, 4, 9, 2, 7, 5, 10, 3, 8, 1, 6, 11, 4, 9, 2, 7, 12, 5, 10, 3, 8, 13, 1, 6, 11]

cp's OEIS Frontend

A054073 Fractal sequence induced by sqrt(2): for k >= 1 let p(k) be the permutation of 1,2,...,k obtained by ordering the fractional parts {h*sqrt(2)} for h=1,2,...,k; then juxtapose p(1),p(2),p(3),...

Table of values

List of values

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

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

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