a(n) = -4 + 5*Fibonacci(n+1)^2.

Terms

a(0) =1a(1) =1a(2) =16a(3) =41a(4) =121a(5) =316a(6) =841a(7) =2201a(8) =5776a(9) =15121a(10) =39601a(11) =103676a(12) =271441a(13) =710641a(14) =1860496a(15) =4870841a(16) =12752041a(17) =33385276a(18) =87403801a(19) =228826121a(20) =599074576a(21) =1568397601a(22) =4106118241a(23) =10749957116a(24) =28143753121a(25) =73681302241a(26) =192900153616a(27) =505019158601