Number of rooted plane trees where every branch that has a predecessor (a branch directly to its left and emanating from the same root) has at least as many leaves as its predecessor.

A304173

Number of rooted plane trees where every branch that has a predecessor (a branch directly to its left and emanating from the same root) has at least as many leaves as its predecessor.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =5a(4) =13a(5) =34a(6) =90a(7) =242a(8) =660a(9) =1822a(10) =5085a(11) =14333a(12) =40759a(13) =116817a(14) =337140a(15) =979098a(16) =2859439a(17) =8393113a(18) =24747052a(19) =73262246a(20) =217681621a(21) =648939319a(22) =1940461444a(23) =5818595438a(24) =17492367097a(25) =52712114792a(26) =159193762250a(27) =481754196170

External references