An all palindromic diophantine equation intermezzo

242³ = 2662² + 2662²

[ May 23, 2002 ]
Jean Claude Rosa (email) intrigued by the above equation
went looking for other solutions of the form p³ = q² + r²
(p, q and r palindromes). None were found for p from 11 up to 11611
but in the same spirit as WONplate 131 he found
an infinite amount of solutions ie. variations of the above equation.
[ 2(0)_n4(0)_n2 ]³ = [ 2(0)_n6(0)_n6(0)_n2 ]² + [ 2(0)_n6(0)_n6(0)_n2 ]²

[ May 25, 2002 ]
I (JCR) found also the following equation
363³ = 3993² + 3993² + 3993²
and of course its infinite pattern partner !
[ 3(0)_n6(0)_n3 ]³ = 3 * [ 3(0)_n9(0)_n9(0)_n3 ]²