1×2²+2×3²+3×4²+...+18×19²+19×20²
=(2-1)×2²+(3-1)×3²+(4-1)×4²+...+(19-1)×19²+(20-1)×20²
=(1³+2³+...+20³)-1-(1²+2²+3²+...+20²)+1
=1/4x20²x21²-1/6x20x21x41
=1/4x400x441-2870
=44100-2870
=41230
1×2²+2×3²+3×4²+...+18×19²+19×20²
=(2-1)×2²+(3-1)×3²+(4-1)×4²+...+(19-1)×19²+(20-1)×20²
=(1³+2³+...+20³)-1-(1²+2²+3²+...+20²)+1
=1/4x20²x21²-1/6x20x21x41
=1/4x400x441-2870
=44100-2870
=41230