Number of leaves on the rooted tree of height n constructed by the following rule. Assign weight 1 to the single node at height 1. At each node of weight w at height k>0, branch to nodes at height k+1 as follows: one node of weight 1 and a node of weight d+1 if d divides w.

A054657

Number of leaves on the rooted tree of height n constructed by the following rule. Assign weight 1 to the single node at height 1. At each node of weight w at height k>0, branch to nodes at height k+1 as follows: one node of weight 1 and a node of weight d+1 if d divides w.

Terms

    a(0) =1a(1) =2a(2) =5a(3) =13a(4) =35a(5) =94a(6) =255a(7) =691a(8) =1876a(9) =5092a(10) =13829a(11) =37553a(12) =101992a(13) =276995a(14) =752307a(15) =2043218a(16) =5549310a(17) =15071694a(18) =40934215a(19) =111175866a(20) =301949926a(21) =820085698a(22) =2227325273a(23) =6049340413a(24) =16429805791a(25) =44622800991a(26) =121194031561a(27) =329158925122a(28) =893984605415

External references