a(n) is the least natural number m such that the fractional part of m*(2^0.5) is less than 2^(-n).

Terms

a(0) =1a(1) =3a(2) =5a(3) =17a(4) =29a(5) =29a(6) =99a(7) =169a(8) =577a(9) =985a(10) =985a(11) =3363a(12) =5741a(13) =19601a(14) =33461a(15) =33461a(16) =114243a(17) =195025a(18) =195025a(19) =1136689a(20) =1136689a(21) =3880899a(22) =6625109a(23) =6625109a(24) =38613965a(25) =38613965a(26) =131836323a(27) =225058681a(28) =225058681a(29) =768398401