(NYT)--Broadway shows about black characters often draw black theatergoers, but the producers of “Memphis” and “Fela!” as well as producers of some coming shows are particularly going after African-Americans, given that Broadway’s overall attendance has been on the decline, down 3 percent for the 2009-10 season. Whether black theatergoers become a larger, reliable part of the Broadway audience remains to be seen, as do the range and quality of the shows that are offered to appeal to them. Yet producers clearly sense a market that has not been tapped out: This fall’s Broadway lineup already includes two new musicals about black men, “Unchain My Heart: The Ray Charles Musical” and “The Scottsboro Boys,” and possibly the new two-character play “The Mountaintop,” about the Rev. Dr. Martin Luther King Jr., depending on whether the producers can land the stars Samuel L. Jackson and Halle Berry.