A194835 - cp's OEIS frontend

A194835 Triangular array (and fractal sequence): row n is the permutation of (1,2,...,n) obtained from the increasing ordering of fractional parts {r}, {2r}, ..., {nr}, where r=-sqrt(2).

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

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

cp's OEIS Frontend

A194835 Triangular array (and fractal sequence): row n is the permutation of (1,2,...,n) obtained from the increasing ordering of fractional parts {r}, {2r}, ..., {nr}, where r=-sqrt(2).

Table of values

List of values

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

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

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