%I #5 Sep 22 2023 10:26:41

%S 1,2,11,71,838,7915,181443

%N Number of ways to partition n into distinct reduced fractions i/j with j<=n.

%e a(3) = #{3, 8/3+1/3, 5/2+1/2, 7/3+2/3, 2+1, 2+2/3+1/3, 5/3+4/3, 5/3+1+1/3, 3/2+1+1/2, 3/2+2/3+1/2+1/3, 4/3+1+2/3} = 11. - corrected by _Reinhard Zumkeller_, Feb 02 2009

%Y Cf. A154886, A154888, A143270.

%K more,nonn

%O 1,2

%A _Reinhard Zumkeller_, Jan 17 2009