On March 22, 1960, U.S. Patent No. 2,929,459 issued to Gordon Spitzmesser on a Combustible Gas Powered Pogo Stick:

This was apparently not the first patent on a powered pogo stick, Richard J. Mays received U.S. Patent No. 2,510,509 on a Mechanical Jumping Stick issued June 6, 1950:

Nor was it the last, for example David Samiran obtained U.S. Patent No. 3,495,671, issued February 17, 1970, on a Power Assisted Pogo Stick: