Alternating partial sums of the Floor-Sqrt transform of Catalan numbers.

Terms

a(0) =1a(1) =0a(2) =1a(3) =1a(4) =2a(5) =4a(6) =7a(7) =13a(8) =24a(9) =45a(10) =84a(11) =158a(12) =298a(13) =563a(14) =1072a(15) =2041a(16) =3905a(17) =7481a(18) =14373a(19) =27665a(20) =53354a(21) =103062a(22) =199398a(23) =386314a(24) =749425a(25) =1455557a(26) =2830158a(27) =5508520a(28) =10731798a(29) =20926411