Number of elements of order n in simple Higman-Sims group HS.

Terms

a(0) =1a(1) =21175a(2) =123200a(3) =877800a(4) =2010624a(5) =3080000a(6) =6336000a(7) =8316000a(8) =0a(9) =4435200a(10) =8064000a(11) =3696000a(12) =0a(13) =0a(14) =2956800a(15) =0a(16) =0a(17) =0a(18) =0a(19) =4435200