T(n,n), array T as in A047030.

Terms

a(0) =1a(1) =1a(2) =3a(3) =10a(4) =34a(5) =121a(6) =441a(7) =1632a(8) =6101a(9) =22991a(10) =87193a(11) =332388a(12) =1272466a(13) =4888612a(14) =18837950a(15) =72779450a(16) =281815171a(17) =1093403995a(18) =4249702841a(19) =16543036314a(20) =64488251459a(21) =251706814417a(22) =983573894625