Number of binary trees of weight n where leaves have positive integer weights, where the order of subtrees is insignificant. Commutative non-associative version of partitions of n.

A113822

Number of binary trees of weight n where leaves have positive integer weights, where the order of subtrees is insignificant. Commutative non-associative version of partitions of n.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =7a(5) =14a(6) =35a(7) =85a(8) =226a(9) =600a(10) =1658a(11) =4622a(12) =13141a(13) =37699a(14) =109419a(15) =320017a(16) =943329a(17) =2797788a(18) =8346030a(19) =25019401a(20) =75340824a(21) =227777899a(22) =691146578a(23) =2104028507a(24) =6424449318a(25) =19670277332a(26) =60378290912a(27) =185763773723a(28) =572764664975

External references