HMMT 2009 U1

Compute

$1 \cdot 2^{2}+2 \cdot 3^{2}+3 \cdot 4^{2}+\cdots+19 \cdot 20^{2}$

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

41230

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.