Number of pairs of 2 X 2 matrices (X,Y) over Z/nZ such that X*Y = 0 and Y*X <> 0.

Terms

a(0) =0a(1) =18a(2) =192a(3) =1296a(4) =2880a(5) =15186a(6) =16128a(7) =62208a(8) =88128a(9) =199890a(10) =158400a(11) =764688a(12) =366912a(13) =1063314a(14) =1551360a(15) =2506752a(16) =1410048a(17) =5742738a(18) =2462400a(19) =9461520a(20) =8089536a(21) =9973458a(22) =6412032a(23) =31593216a(24) =14040000a(25) =22817106a(26) =27713664a(27) =48947472a(28) =20462400a(29) =97370130