Power floor-ceiling sequence of sqrt(5).

Terms

a(0) =2a(1) =5a(2) =11a(3) =25a(4) =55a(5) =123a(6) =275a(7) =615a(8) =1375a(9) =3075a(10) =6875a(11) =15373a(12) =34375a(13) =76865a(14) =171875a(15) =384325a(16) =859376a(17) =1921624a(18) =4296881a(19) =9608119a(20) =21484407a(21) =48040595a(22) =107422036a(23) =240202975a(24) =537110180a(25) =1201014874a(26) =2685550900a(27) =6005074370a(28) =13427754501