21. Thomas A. Hendricks
President: Grover Cleveland, 1885
Thomas Andrew Hendricks died a mere nine months after taking office. President Cleveland didn't bother to replace him, a common practice in the 19th Century when veeps were more likely that presidents to die in office. In spite of his short tenure, Hendricks appears on the $10 "Tombstone" silver certificate, making him the only vice president who never became president to wind up on US currency.