Please Count ME!
Perl, 30 bytes
printf"\r%d %o %x",++$n,$n,$n;
Go back to the beginning of the line, increment counter and print counter overwriting the old output.
JavaScript, 54 53 51 47 bytes
Saved 4 bytes thanks to @user81655
var d=-~d;d+` ${d[b='toString'](8)} `+d[b](16);
I'm actually kinda surprised this works.
Explanation
var d=-~d; // `var` let's `d` not throw an error if it's not defined
// -~ essentially increments the variable
d+ // decimal
` ${ // space character
d[b='toString'](8) // octal
} ` // space character
+d[b](16) // Hexadecimal
Try it online
Japt, 12 bytes
[°TTs8 TsG]¸
Thanks to @ETHproductions for saving 2 bytes!
Same as my answer.