A212606 - OEIS

%I #17 Feb 10 2019 04:21:27

%S 1,2,3,6,10,26,34,103,175,393,599,2015,2551,8681,14254,19620,34700,

%T 129557,161272,595304,695175,1094164,1903859,7654850,9413484,29625309

%N Number of distinct sums <= 1 of reciprocals of positive integers <= n.

%e a(3) = 6 counts numbers { 0, 1/3, 1/2, 2/3, 5/6, 1 }, each of which is can be represented as the sum of reciprocals 1/1, 1/2, and 1/3.

%Y For distinct sums of distinct reciprocals, see A212607.

%Y Cf. A020473, A092669, A092671, A208480

%K nonn,more

%O 0,2

%A _Max Alekseyev_, May 22 2012

%E a(24)-a(25) from _Dexter Senft_, Feb 07 2019