Number of n-node rooted trees in which three equals the maximal number of nodes in paths starting at a leaf and ending at the first branching node or at the root.

A318899

Number of n-node rooted trees in which three equals the maximal number of nodes in paths starting at a leaf and ending at the first branching node or at the root.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =7a(4) =18a(5) =45a(6) =116a(7) =298a(8) =776a(9) =2025a(10) =5322a(11) =14030a(12) =37155a(13) =98685a(14) =262961a(15) =702497a(16) =1881475a(17) =5050140a(18) =13583622a(19) =36605565a(20) =98821445a(21) =267220361a(22) =723704046a(23) =1962830775a(24) =5330900916a(25) =14497096134a(26) =39472561082a(27) =107601053713a(28) =293643574776a(29) =802203904616

External references