Convolution of the Floor-Sqrt transform of Catalan numbers.

Terms

a(0) =1a(1) =2a(2) =3a(3) =6a(4) =11a(5) =22a(6) =44a(7) =86a(8) =169a(9) =332a(10) =652a(11) =1280a(12) =2513a(13) =4932a(14) =9688a(15) =19040a(16) =37439a(17) =73658a(18) =144985a(19) =285530a(20) =562589a(21) =1108994a(22) =2187050a(23) =4314894a(24) =8516372a(25) =16815264a(26) =33213075a(27) =65624052a(28) =129705457a(29) =256441194