A194899 - cp's OEIS frontend

A194899 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(12).

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

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

cp's OEIS Frontend

A194899 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(12).

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

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

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