Number of genus-2 partitions of [n].

Terms

a(0) =1a(1) =28a(2) =399a(3) =4179a(4) =36498a(5) =282282a(6) =1999998a(7) =13258674a(8) =83417334a(9) =503090588a(10) =2929953026a(11) =16569715890a(12) =91386952020a(13) =493234934220