#!/usr/bin/perl
$x=1; #first file who will open will be file20061.trf change if you need
$xmax=9999; #change this as you need is the limite of files
$patternb="file2006"; #begin of filename
$patterne=".trf"; #end of filename
while($x!=$xmax){
$y=0;
@lines=();
$file=$patternb . $x . $patterne;
open(FD,"< $file")|| $y=1;
@lines=<FD>;
close(FD);
@lines=reverse(@lines);   #\
pop(@lines);                  # - Remove First Line
@lines=reverse(@lines);   #/
open(FD,"> $file") if $y!=1;
print FD @lines if $y!=1;
close(FD);
$x++; #and loop 
}

# Print a list of files with 'find', feed it into while loop.
# For each filename, open file, read and discard first line,
# print rest of file, while redirecting all output into 'output'
find ./ -iname 'file2006*' |
        while read FILE
        do
                ( read LINE ; cat ) < "${FILE}"
        done > output

# cat test.sh
#!/bin/ksh
echo $1
echo $?

#tail +2 test.sh
echo $1
echo $?

awk 'FNR>1' file*.trf > outfile