WASHINGTON, June 22 - Under a secret Bush administration program initiated weeks after the Sept. 11 attacks, counterterrorism officials have gained access to financial records from a vast international database and examined banking transactions involving thousands of Americans and others in the United States, according to government and industry officials. The program is limited, government officials say, to tracing transactions of people suspected of ties to Al Qaeda by reviewing records from the nerve center of the global banking industry, a Belgian cooperative that routes about $6 trillion daily between banks, brokerages, stock exchanges and other institutions. The records mostly...