Greedy frac multiples of log(2): a(1)=1, Sum_{n>0} frac(a(n)*log(2)) = 1.

Terms

a(0) =1a(1) =3a(2) =6a(3) =13a(4) =26a(5) =39a(6) =277a(7) =642a(8) =2291a(9) =4582a(10) =6231a(11) =16402a(12) =26573a(13) =36744a(14) =63317a(15) =73488a(16) =110232a(17) =414355a(18) =828710a(19) =1206321a(20) =2412642a(21) =4410929a(22) =5617250a(23) =12026466a(24) =31668469a(25) =51310472a(26) =70952475a(27) =141904950a(28) =394046381