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.

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.

Terms

    a(0) =2a(1) =3a(2) =5a(3) =7a(4) =13a(5) =17a(6) =26a(7) =31a(8) =43a(9) =57a(10) =65a(11) =82a(12) =101a(13) =111a(14) =133a(15) =157a(16) =183a(17) =197a(18) =226a(19) =257a(20) =290a(21) =307a(22) =343a(23) =381a(24) =421a(25) =463a(26) =485a(27) =530a(28) =577a(29) =626

External references