a(n) = Fibonacci(n)^2+1.

Terms

a(0) =1a(1) =2a(2) =2a(3) =5a(4) =10a(5) =26a(6) =65a(7) =170a(8) =442a(9) =1157a(10) =3026a(11) =7922a(12) =20737a(13) =54290a(14) =142130a(15) =372101a(16) =974170a(17) =2550410a(18) =6677057a(19) =17480762a(20) =45765226a(21) =119814917a(22) =313679522a(23) =821223650a(24) =2149991425a(25) =5628750626a(26) =14736260450a(27) =38580030725a(28) =101003831722a(29) =264431464442