a(n) = Sum_{k >= 1} floor(n*sqrt(2)^(1-k)).

Terms

a(0) =1a(1) =4a(2) =7a(3) =10a(4) =12a(5) =17a(6) =18a(7) =23a(8) =26a(9) =29a(10) =30a(11) =37a(12) =39a(13) =41a(14) =44a(15) =50a(16) =54a(17) =56a(18) =58a(19) =63a(20) =64a(21) =67a(22) =73a(23) =77a(24) =79a(25) =83a(26) =85a(27) =88a(28) =92a(29) =95