Greedy fractional multiples of 1/e: a(1)=1, Sum_{n>0} frac(a(n)/e) = 1.

Terms

a(0) =1a(1) =3a(2) =4a(3) =11a(4) =87a(5) =193a(6) =386a(7) =579a(8) =1457a(9) =23225a(10) =49171a(11) =98342a(12) =147513a(13) =196684a(14) =566827a(15) =13580623a(16) =28245729a(17) =56491458a(18) =84737187a(19) =112982916a(20) =438351041a(21) =466596770a(22) =494842499