I am sure there is a mathematical equation that would simplify this

Well, here's it. I hope it works. Has someone written a test program that compares the outputs of different solutions in this thread with each other? 

#!perl

use warnings;
use strict;

my($n, $wd, $fmt, $x, $y, $r);
$n = int($ARGV[-1] || 5);
$wd = length($n**2);
$fmt = "%${wd}d ";
for $x (0 .. $n - 1) {
        for $y (0 .. $n - 1) {
                $r = $x <= $y ?
                        $x + $y <= $n - 1 ?
                                -4*$x**2 + 4*$n*$x - $x + $y + 1 :
                                -4*$y**2 + 4*$n*$y - 5*$y + $x + 2*$n 
+- 1 :
                        $x + $y <= $n - 1 ?
                                -4*$y**2 + 4*$n*$y - 7*$y - $x + 4*$n 
+- 3 :
                                -4*$x**2 + 4*$n*$x - 3*$x - $y + 2*$n 
+- 1;
                printf $fmt, $r;
        }
        print "\n";
}

__END__

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In reply to Re: Spiraling integers by ambrus
in thread Spiraling integers by Elijah

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