Floor-Sqrt transform of numbers of A078679 (Grand Motzkin paths with no zigzags).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =6a(6) =10a(7) =17a(8) =27a(9) =45a(10) =74a(11) =122a(12) =201a(13) =332a(14) =548a(15) =907a(16) =1502a(17) =2490a(18) =4131a(19) =6859a(20) =11396a(21) =18944a(22) =31510a(23) =52437a(24) =87305a(25) =145418a(26) =242310a(27) =403909a(28) =673507a(29) =1123409