Number of rooted identity matched trees with n nodes.

Terms

a(0) =1a(1) =2a(2) =5a(3) =18a(4) =66a(5) =266a(6) =1111a(7) =4792a(8) =21124a(9) =94888a(10) =432415a(11) =1994828a(12) =9296712a(13) =43706722a(14) =207030398a(15) =987130456a(16) =4733961435a(17) =22819241034a(18) =110500644857a(19) =537295738556