Number of rooted 5-connected planar triangulations with 2n faces.

Terms

a(0) =1a(1) =0a(2) =6a(3) =13a(4) =55a(5) =189a(6) =694a(7) =2516a(8) =9213a(9) =33782a(10) =124300a(11) =458502a(12) =1695469a(13) =6284175a(14) =23344173a(15) =86904615a(16) =324197100a(17) =1211841846a(18) =4538611107a(19) =17029834923a(20) =64014608376a(21) =241046175666a(22) =909171583214