Oplossingen bij Opeenvolgende getallen die elk de som zijn van drie kwadraten

Opgave 2

$0$ $=$ $0^2+0^2+0^2$
$1$ $=$ $0^2+0^2+1^2$
$2$ $=$ $0^2+1^2+1^2$
$3$ $=$ $1^2+1^2+1^2$
$4$ $=$ $0^2+0^2+2^2$
$5$ $=$ $0^2+1^2+2^2$
$6$ $=$ $1^2+1^2+2^2$
     
$8$ $=$ $0^2+2^2+2^2$
$9$ $=$ $0^2+0^2+3^2=1^2+2^2+2^2$
$10$ $=$ $0^2+1^2+3^2$
$11$ $=$ $1^2+1^2+3^2$
$12$ $=$ $2^2+2^2+2^2$
$13$ $=$ $0^2+2^2+3^2$
$14$ $=$ $1^2+2^2+3^2$

Opgave 3

$288$ $=$ $12^2+12^2=4^2+4^2+16^2$
$289$ $=$ $8^2+15^2=1^2+12^2+12^2=8^2+9^2+12^2$
$290$ $=$ $11^2+13^2=1^2+8^2+15^2=3^2+5^2+16^2=4^2+7^2+15^2=5^2+11^2+12^2$
$291$ $=$ $1^2+11^2+13^2=1^2+1^2+17^2=7^2+11^2+11^2$
$292$ $=$ $2^2+12^2+12^2$
$293$ $=$ $2^2+8^2+15^2=1^2+6^2+16^2=4^2+9^2+14^2=7^2+10^2+12^2$
$294$ $=$ $2^2+11^2+13^2=1^2+2^2+17^2=5^2+10^2+13^2=7^2+7^2+14^2$