a(n) = (A048899(n)^2 + 1)/5^n, n >= 0.

Terms

a(0) =1a(1) =2a(2) =13a(3) =37a(4) =314a(5) =365a(6) =73a(7) =13369a(8) =31226a(9) =1432954a(10) =1346393a(11) =10982633a(12) =59784881a(13) =986508685a(14) =197301737a(15) =12342639754a(16) =16335212753a(17) =165277755905a(18) =33055551181