linear algebra - Work out the values of a and b (in the below question):

$1^2 = 1$

$1^2 + 2^2 = 5$

$1^2 + 2^2 + 3^2 = 14$

$1^2 + 2^2 + 3^2 + 4^2 = 30$

$1^2 + 2^2 + 3^2 + 4^2 + ...... + n^2 = an^3 + bn^2 + (n/6)$

Work out the values of $a$ and $b$.