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

Terms

a(0) =1a(1) =3a(2) =5a(3) =10a(4) =17a(5) =29a(6) =46a(7) =99a(8) =169a(9) =268a(10) =577a(11) =985a(12) =1562a(13) =3363a(14) =5741a(15) =9104a(16) =19601a(17) =33461a(18) =53062a(19) =114243a(20) =195025a(21) =309268a(22) =665857a(23) =1136689a(24) =1802546a(25) =3880899a(26) =6625109a(27) =10506008a(28) =22619537a(29) =38613965