Number of sublattices of index n in generic 8-dimensional lattice.

Terms

a(0) =1a(1) =255a(2) =3280a(3) =43435a(4) =97656a(5) =836400a(6) =960800a(7) =6347715a(8) =8069620a(9) =24902280a(10) =21435888a(11) =142466800a(12) =67977560a(13) =245004000a(14) =320311680a(15) =866251507a(16) =435984840a(17) =2057753100a(18) =943531280a(19) =4241688360a(20) =3151424000a(21) =5466151440a(22) =3559590240a(23) =20820505200a(24) =7947261556a(25) =17334277800a(26) =18326727760