Number of fillomino dissections of a 2 X n rectangle.

Terms

a(0) =1a(1) =1a(2) =5a(3) =33a(4) =138a(5) =715a(6) =3524a(7) =17119a(8) =84655a(9) =416723a(10) =2047650a(11) =10072806a(12) =49542408a(13) =243701785a(14) =1198732022a(15) =5895900754a(16) =28999718642a(17) =142641530115a(18) =701610208573