Number of partitions of the faces of the n-th Johnson solid into 2 connected subsets.

Terms

a(0) =13a(1) =21a(2) =72a(3) =213a(4) =658a(5) =8494a(6) =38a(7) =120a(8) =332a(9) =615a(10) =2503a(11) =22a(12) =151a(13) =89a(14) =462a(15) =1992a(16) =2139a(17) =1798a(18) =15839a(19) =139817a(20) =1954843a(21) =19396a(22) =402066a(23) =8375461a(24) =106395692a(25) =70a(26) =1406a(27) =11327a(28) =11638a(29) =90420