The integer k that minimizes |k/2^n - phi^2|, where phi = (1+sqrt(5))/2 = golden ratio.

Terms

a(0) =3a(1) =5a(2) =10a(3) =21a(4) =42a(5) =84a(6) =168a(7) =335a(8) =670a(9) =1340a(10) =2681a(11) =5362a(12) =10723a(13) =21447a(14) =42894a(15) =85788a(16) =171575a(17) =343151a(18) =686302a(19) =1372604a(20) =2745208a(21) =5490415a(22) =10980830a(23) =21961661a(24) =43923322a(25) =87846643a(26) =175693287a(27) =351386574a(28) =702773148a(29) =1405546295