A194896 - cp's OEIS frontend

A194896 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(8).

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

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

cp's OEIS Frontend

A194896 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(8).

Table of values

List of values

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

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

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