If you don't mind installing a module, here is how to use DateTime::Event::Recurrence (I guessed the parameters from your example):
use DateTime::Event::Recurrence;
my $cal = DateTime::Event::Recurrence->yearly(
weeks => 5,
week_start_day => 'su' );
my $dt = DateTime->new( year=> 2004 );
for ( 1 .. 10 ) {
$dt = $cal->next( $dt );
print $dt, "\n"
}
2004-02-01T00:00:00
2005-01-30T00:00:00
2006-01-29T00:00:00
2007-01-28T00:00:00
2008-01-27T00:00:00
2009-02-01T00:00:00
2010-01-31T00:00:00
2011-01-30T00:00:00
2012-01-29T00:00:00
2013-01-27T00:00:00
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