Theta series of the 20-dimensional lattice of hyper-roots A_3(SU(3)).

Terms

a(0) =1a(1) =0a(2) =0a(3) =240a(4) =1782a(5) =9072a(6) =59328a(7) =216432a(8) =810000a(9) =2059152a(10) =6080832a(11) =12349584a(12) =31045596a(13) =57036960a(14) =122715648a(15) =204193872a(16) =418822650a(17) =622067040a(18) =1193611392a(19) =1734272208a(20) =3043596384a(21) =4217152080a(22) =7354100160a(23) =9446435136a(24) =15901091892a(25) =20507712192a(26) =32268036096a(27) =40493364288a(28) =64454759856