Floor-Sqrt transform of the binomial coefficients bin(2*n+1,n) (A001700).

Terms

a(0) =1a(1) =1a(2) =3a(3) =5a(4) =11a(5) =21a(6) =41a(7) =80a(8) =155a(9) =303a(10) =593a(11) =1162a(12) =2280a(13) =4478a(14) =8806a(15) =17336a(16) =34158a(17) =67361a(18) =132938a(19) =262532a(20) =518776a(21) =1025694a(22) =2028969a(23) =4015445a(24) =7950176a(25) =15746722a(26) =31200476a(27) =61841291a(28) =122611717a(29) =243171319