A194339 - cp's OEIS frontend

A194339 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n^2, 1<=k<=n, r=3-sqrt(5).

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

[1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 4, 5, 5, 5, 6, 7, 7, 6, 7, 6, 7, 8, 7, 7, 7, 8, 7, 9, 7, 9, 7, 9, 8, 9, 9, 9, 9, 9, 9, 9, 10, 8, 10, 10, 10, 10, 9, 12, 10, 9, 11, 9, 11, 11, 10, 11, 12, 11, 11, 11, 11, 12, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 14, 12, 14, 12]

cp's OEIS Frontend

A194339 Triangular array: g(n,k)=number of fractional parts (i*r) in interval [(k-1)/n, k/n], for 1<=i<=n^2, 1<=k<=n, r=3-sqrt(5).

Table of values

List of values

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

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

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