okay, this looked like A LOT of fun, so i put my work aside to give this a try. here goes! 
#!/usr/bin/perl -w

my $ref = sym(10000);
for my $key (sort {$a <=> $b} keys %$ref) {
   printf "%-10d%d\n",$key,$ref->{$key};
}

sub sym {
    for(1..shift) {
        sub s{$_[0]==join"",reverse split//,$_[0]}
        if(&s($_)&&&s($_**2)){$s{$_}=$_**2}
    }
    \%s;
}

[download]
which produces: 
1         1
2         4
3         9
11        121
22        484
101       10201
111       12321
121       14641
202       40804
212       44944
1001      1002001
1111      1234321
2002      4008004

[download]
i'm quite pleased, for my first golf attempt, at

UPDATE

97 chars!

~Particle

nevermind the xp, remember the experience.

In reply to Re: Symetrical Numbers (GOLF) by particle
in thread Symmetrical Numbers (GOLF) by tachyon

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