A194856 - cp's OEIS frontend

A194856 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(5).

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

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

cp's OEIS Frontend

A194856 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(5).

Table of values

List of values

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

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

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