Number of planted matched trees with n nodes.

Terms

a(0) =1a(1) =1a(2) =3a(3) =10a(4) =39a(5) =160a(6) =702a(7) =3177a(8) =14830a(9) =70678a(10) =342860a(11) =1686486a(12) =8393681a(13) =42187148a(14) =213828802a(15) =1091711076a(16) =5609297942a(17) =28982708389a(18) =150496728594a(19) =784952565145