Floor-Sqrt transform of central trinomial coefficients (A002426).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =7a(6) =11a(7) =19a(8) =33a(9) =56a(10) =94a(11) =160a(12) =271a(13) =461a(14) =785a(15) =1337a(16) =2279a(17) =3890a(18) =6644a(19) =11357a(20) =19426a(21) =33246a(22) =56930a(23) =97535a(24) =167177a(25) =286665a(26) =491745a(27) =843842a(28) =1448530a(29) =2487302