Number of pure 2-complexes on 6 unlabeled nodes with n multiple 2-simplexes.

Terms

a(0) =1a(1) =1a(2) =4a(3) =11a(4) =40a(5) =122a(6) =410a(7) =1270a(8) =3888a(9) =11230a(10) =31169a(11) =82234a(12) =208068a(13) =504148a(14) =1175882a(15) =2643952a(16) =5751108a(17) =12125574a(18) =24845786a(19) =49567350a(20) =96475743a(21) =183489050a(22) =341565932a(23) =623152106a(24) =1115673576a(25) =1962423333a(26) =3394902381a(27) =5781655379