A001000 - cp's OEIS frontend

A001000 a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k.

n	a(n)
1	2
2	3
3	5
4	7
5	13
6	17
7	26
8	31
9	43
10	57
11	65
12	82
13	101
14	111
15	133
16	157
17	183
18	197
19	226
20	257
21	290
22	307
23	343
24	381
25	421
26	463
27	485
28	530
29	577
30	626
31	677
32	703
33	757
34	813
35	871
36	931
37	993
38	1025
39	1090
40	1157
41	1226
42	1297
43	1370
44	1407
45	1483
46	1561
47	1641
48	1723
49	1807
50	1893
51	1937
52	2026
53	2117

[2, 3, 5, 7, 13, 17, 26, 31, 43, 57, 65, 82, 101, 111, 133, 157, 183, 197, 226, 257, 290, 307, 343, 381, 421, 463, 485, 530, 577, 626, 677, 703, 757, 813, 871, 931, 993, 1025, 1090, 1157, 1226, 1297, 1370, 1407, 1483, 1561, 1641, 1723, 1807, 1893, 1937, 2026, 2117]

cp's OEIS Frontend

A001000 a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k.

Table of values

List of values