A194334 - cp's OEIS frontend

A194334 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=2n, 1<=k<=n, r=2-tau, where tau=(1+sqrt(5))/2, the golden ratio.

n	a(n)
1	2
2	2
3	2
4	2
5	2
6	2
7	2
8	2
9	2
10	2
11	2
12	2
13	2
14	2
15	2
16	2
17	2
18	2
19	2
20	3
21	1
22	1
23	2
24	3
25	2
26	2
27	2
28	2
29	2
30	2
31	2
32	2
33	2
34	2
35	2
36	2
37	1
38	3
39	1
40	3
41	2
42	1
43	3
44	2
45	2
46	1
47	2
48	3
49	2
50	2
51	2
52	2
53	2
54	2
55	2
56	2
57	2
58	2
59	2
60	3
61	2
62	1
63	2
64	2
65	2
66	2
67	2
68	2
69	2
70	2
71	3
72	2
73	1
74	2
75	2
76	3
77	2
78	1
79	2
80	2
81	2
82	2
83	2
84	2
85	2
86	2
87	2
88	2
89	2
90	2
91	2
92	2
93	1
94	3
95	1
96	3
97	2
98	2
99	2

[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 1, 3, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 1, 2, 2, 3, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 3, 1, 3, 2, 2, 2]

cp's OEIS Frontend

A194334 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=2n, 1<=k<=n, r=2-tau, where tau=(1+sqrt(5))/2, the golden ratio.

Table of values

List of values

n	a(n)
1	2
2	2
3	2
4	2
5	2
6	2
7	2
8	2
9	2
10	2
11	2
12	2
13	2
14	2
15	2
16	2
17	2
18	2
19	2
20	3
21	1
22	1
23	2
24	3
25	2
26	2
27	2
28	2
29	2
30	2
31	2
32	2
33	2
34	2
35	2
36	2
37	1
38	3
39	1
40	3
41	2
42	1
43	3
44	2
45	2
46	1
47	2
48	3
49	2
50	2
51	2
52	2
53	2
54	2
55	2
56	2
57	2
58	2
59	2
60	3
61	2
62	1
63	2
64	2
65	2
66	2
67	2
68	2
69	2
70	2
71	3
72	2
73	1
74	2
75	2
76	3
77	2
78	1
79	2
80	2
81	2
82	2
83	2
84	2
85	2
86	2
87	2
88	2
89	2
90	2
91	2
92	2
93	1
94	3
95	1
96	3
97	2
98	2
99	2

n	a(n)
1	2
2	2
3	2
4	2
5	2
6	2
7	2
8	2
9	2
10	2
11	2
12	2
13	2
14	2
15	2
16	2
17	2
18	2
19	2
20	3
21	1
22	1
23	2
24	3
25	2
26	2
27	2
28	2
29	2
30	2
31	2
32	2
33	2
34	2
35	2
36	2
37	1
38	3
39	1
40	3
41	2
42	1
43	3
44	2
45	2
46	1
47	2
48	3
49	2
50	2
51	2
52	2
53	2
54	2
55	2
56	2
57	2
58	2
59	2
60	3
61	2
62	1
63	2
64	2
65	2
66	2
67	2
68	2
69	2
70	2
71	3
72	2
73	1
74	2
75	2
76	3
77	2
78	1
79	2
80	2
81	2
82	2
83	2
84	2
85	2
86	2
87	2
88	2
89	2
90	2
91	2
92	2
93	1
94	3
95	1
96	3
97	2
98	2
99	2

n	a(n)
1	2
2	2
3	2
4	2
5	2
6	2
7	2
8	2
9	2
10	2
11	2
12	2
13	2
14	2
15	2
16	2
17	2
18	2
19	2
20	3
21	1
22	1
23	2
24	3
25	2
26	2
27	2
28	2
29	2
30	2
31	2
32	2
33	2
34	2
35	2
36	2
37	1
38	3
39	1
40	3
41	2
42	1
43	3
44	2
45	2
46	1
47	2
48	3
49	2
50	2
51	2
52	2
53	2
54	2
55	2
56	2
57	2
58	2
59	2
60	3
61	2
62	1
63	2
64	2
65	2
66	2
67	2
68	2
69	2
70	2
71	3
72	2
73	1
74	2
75	2
76	3
77	2
78	1
79	2
80	2
81	2
82	2
83	2
84	2
85	2
86	2
87	2
88	2
89	2
90	2
91	2
92	2
93	1
94	3
95	1
96	3
97	2
98	2
99	2