Triangle of T(n,k) coefficients of polynomials with first n prime numbers as roots.

Terms

a(0) =1a(1) =-2a(2) =1a(3) =6a(4) =-5a(5) =1a(6) =-30a(7) =31a(8) =-10a(9) =1a(10) =210a(11) =-247a(12) =101a(13) =-17a(14) =1a(15) =-2310a(16) =2927a(17) =-1358a(18) =288a(19) =-28a(20) =1a(21) =30030a(22) =-40361a(23) =20581a(24) =-5102a(25) =652a(26) =-41a(27) =1a(28) =-510510a(29) =716167