Partial sums of the Floor-Sqrt transform of Catalan numbers.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =8a(5) =14a(6) =25a(7) =45a(8) =82a(9) =151a(10) =280a(11) =522a(12) =978a(13) =1839a(14) =3474a(15) =6587a(16) =12533a(17) =23919a(18) =45773a(19) =87811a(20) =168830a(21) =325246a(22) =627706a(23) =1213418a(24) =2349157a(25) =4554139a(26) =8839854a(27) =17178532a(28) =33418850a(29) =65077059