A098667 Max{m: A098666(n,k)=1 for 1<=k<=m<=n}.

1, 1, 1, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 8, 10, 10, 10, 10, 10, 10, 10, 12, 12, 12, 12, 16, 16, 16, 16, 16, 16, 16, 16, 18, 18, 18, 18, 22, 22, 22, 22, 22, 22, 22, 22, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 30, 30, 30, 30, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 40