a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/(2*n)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.

A024845

a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/(2*n)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.

Terms

    a(0) =15a(1) =41a(2) =79a(3) =129a(4) =191a(5) =265a(6) =351a(7) =449a(8) =577a(9) =703a(10) =861a(11) =1013a(12) =1201a(13) =1379a(14) =1597a(15) =1801a(16) =2049a(17) =2279a(18) =2557a(19) =2813a(20) =3121a(21) =3403a(22) =3741a(23) =4049a(24) =4417a(25) =4801a(26) =5151a(27) =5565a(28) =5995a(29) =6385

External references