T(n,k) = largest coefficient in the expansion of (1 + ... + x^(n-1))^(2*k).

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =6a(5) =3a(6) =1a(7) =20a(8) =19a(9) =4a(10) =1a(11) =70a(12) =141a(13) =44a(14) =5a(15) =1a(16) =252a(17) =1107a(18) =580a(19) =85a(20) =6a(21) =1a(22) =924a(23) =8953a(24) =8092a(25) =1751a(26) =146a(27) =7a(28) =1a(29) =3432