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

Terms

a(0) =1a(1) =3a(2) =7a(3) =14a(4) =39a(5) =78a(6) =394a(7) =1001a(8) =2002a(9) =3003a(10) =9545a(11) =10546a(12) =27634a(13) =154257a(14) =398959a(15) =797918a(16) =1196877a(17) =1595836a(18) =5394991a(19) =5793950a(20) =15786014a(21) =130087267a(22) =312129649a(23) =624259298