a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.

A024843

a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.

Terms

    a(0) =9a(1) =23a(2) =43a(3) =69a(4) =101a(5) =139a(6) =183a(7) =233a(8) =289a(9) =361a(10) =431a(11) =518a(12) =601a(13) =703a(14) =799a(15) =916a(16) =1025a(17) =1157a(18) =1279a(19) =1426a(20) =1561a(21) =1723a(22) =1871a(23) =2048a(24) =2209a(25) =2401a(26) =2601a(27) =2783a(28) =2998a(29) =3221

External references