a(n) = Sum_{k=1..n} [ 1/{k*e} ] where {x} := x - [ x ].

Terms

a(0) =1a(1) =3a(2) =9a(3) =10a(4) =11a(5) =14a(6) =49a(7) =50a(8) =52a(9) =57a(10) =58a(11) =59a(12) =61a(13) =78a(14) =79a(15) =81a(16) =85a(17) =86a(18) =87a(19) =89a(20) =100a(21) =101a(22) =102a(23) =106a(24) =107a(25) =108a(26) =110a(27) =118a(28) =119a(29) =120