A122632 - cp's OEIS frontend

A122632 Table T(n,k) = number of initial segments of Beatty sequences for numbers > 1 of length k, cutting sequence so that all terms are < n.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	2
10	1
11	1
12	3
13	2
14	3
15	1
16	1
17	3
18	2
19	2
20	3
21	1
22	1
23	4
24	3
25	2
26	3
27	4
28	1
29	1
30	4
31	3
32	3
33	3
34	3
35	4
36	1
37	1
38	5
39	3
40	4
41	2
42	4
43	3
44	5
45	1
46	1
47	5
48	4
49	3
50	3
51	3
52	3
53	4
54	5
55	1
56	1
57	6
58	4
59	4
60	5
61	2
62	5
63	4
64	4
65	6
66	1
67	1
68	6
69	4
70	4
71	4
72	4
73	4
74	4
75	4
76	4
77	6
78	1
79	1
80	7
81	5
82	5
83	4
84	6
85	2
86	6
87	4
88	5
89	5
90	7
91	1
92	1
93	7
94	5
95	5
96	4
97	6
98	4
99	4
100	6
101	4
102	5
103	5
104	7
105	1

[1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 2, 3, 1, 1, 3, 2, 2, 3, 1, 1, 4, 3, 2, 3, 4, 1, 1, 4, 3, 3, 3, 3, 4, 1, 1, 5, 3, 4, 2, 4, 3, 5, 1, 1, 5, 4, 3, 3, 3, 3, 4, 5, 1, 1, 6, 4, 4, 5, 2, 5, 4, 4, 6, 1, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 6, 1, 1, 7, 5, 5, 4, 6, 2, 6, 4, 5, 5, 7, 1, 1, 7, 5, 5, 4, 6, 4, 4, 6, 4, 5, 5, 7, 1]

cp's OEIS Frontend

A122632 Table T(n,k) = number of initial segments of Beatty sequences for numbers > 1 of length k, cutting sequence so that all terms are < n.

Table of values

List of values

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	2
10	1
11	1
12	3
13	2
14	3
15	1
16	1
17	3
18	2
19	2
20	3
21	1
22	1
23	4
24	3
25	2
26	3
27	4
28	1
29	1
30	4
31	3
32	3
33	3
34	3
35	4
36	1
37	1
38	5
39	3
40	4
41	2
42	4
43	3
44	5
45	1
46	1
47	5
48	4
49	3
50	3
51	3
52	3
53	4
54	5
55	1
56	1
57	6
58	4
59	4
60	5
61	2
62	5
63	4
64	4
65	6
66	1
67	1
68	6
69	4
70	4
71	4
72	4
73	4
74	4
75	4
76	4
77	6
78	1
79	1
80	7
81	5
82	5
83	4
84	6
85	2
86	6
87	4
88	5
89	5
90	7
91	1
92	1
93	7
94	5
95	5
96	4
97	6
98	4
99	4
100	6
101	4
102	5
103	5
104	7
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	2
10	1
11	1
12	3
13	2
14	3
15	1
16	1
17	3
18	2
19	2
20	3
21	1
22	1
23	4
24	3
25	2
26	3
27	4
28	1
29	1
30	4
31	3
32	3
33	3
34	3
35	4
36	1
37	1
38	5
39	3
40	4
41	2
42	4
43	3
44	5
45	1
46	1
47	5
48	4
49	3
50	3
51	3
52	3
53	4
54	5
55	1
56	1
57	6
58	4
59	4
60	5
61	2
62	5
63	4
64	4
65	6
66	1
67	1
68	6
69	4
70	4
71	4
72	4
73	4
74	4
75	4
76	4
77	6
78	1
79	1
80	7
81	5
82	5
83	4
84	6
85	2
86	6
87	4
88	5
89	5
90	7
91	1
92	1
93	7
94	5
95	5
96	4
97	6
98	4
99	4
100	6
101	4
102	5
103	5
104	7
105	1

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	2
9	2
10	1
11	1
12	3
13	2
14	3
15	1
16	1
17	3
18	2
19	2
20	3
21	1
22	1
23	4
24	3
25	2
26	3
27	4
28	1
29	1
30	4
31	3
32	3
33	3
34	3
35	4
36	1
37	1
38	5
39	3
40	4
41	2
42	4
43	3
44	5
45	1
46	1
47	5
48	4
49	3
50	3
51	3
52	3
53	4
54	5
55	1
56	1
57	6
58	4
59	4
60	5
61	2
62	5
63	4
64	4
65	6
66	1
67	1
68	6
69	4
70	4
71	4
72	4
73	4
74	4
75	4
76	4
77	6
78	1
79	1
80	7
81	5
82	5
83	4
84	6
85	2
86	6
87	4
88	5
89	5
90	7
91	1
92	1
93	7
94	5
95	5
96	4
97	6
98	4
99	4
100	6
101	4
102	5
103	5
104	7
105	1