Number of points in the standard root system version of the D_4 lattice having L_infinity norm n.

Terms

a(0) =1a(1) =40a(2) =272a(3) =888a(4) =2080a(5) =4040a(6) =6960a(7) =11032a(8) =16448a(9) =23400a(10) =32080a(11) =42680a(12) =55392a(13) =70408a(14) =87920a(15) =108120a(16) =131200a(17) =157352a(18) =186768a(19) =219640a(20) =256160a(21) =296520a(22) =340912a(23) =389528a(24) =442560a(25) =500200a(26) =562640a(27) =630072a(28) =702688a(29) =780680