Currency in circulation under George W. Bush increased nearly 51% between November 2000 and November 2008, according to the Federal Reserve, here. Over the course of his 96 months in office, that's a factor of .529. The measure of currency under Bush went from $571 billion to $861 billion.
Currency in circulation under Barack Obama increased nearly 39% from November 2008 to July 17, 2013. Over the course of his 56 months in office, that's a factor of .696. The measure of currency under Obama so far has gone from $861 billion to $1,196 billion.
That means the increase in the currency in circulation under Obama is 31.6% higher than it was under George Bush.
Currency in circulation includes coin and currency held in vaults of banks in addition to coin and currency held by the public.