Professional U.S. sports leagues, long seen as a bastion of homophobia, are increasingly sending the message that lesbian, gay, bisexual, and transgender fans are welcome at the ballpark. So far this year, about three dozen professional baseball, soccer, and women’s basketball teams have hosted pride nights, inviting members of the LGBT community to throw first pitches or participate in coin tosses, handing out commemorative merchandise, and donating a portion of ticket sales to LGBT causes.