I think it was LBJ who didn’t select a VP after he assumed office.
LBJ couldn’t select a VP because the 25th Amendment hadn’t yet been ratified,
He couldn’t. The 25th amendment wasn’t ratified until 1967. Until that time, when a VP took office as President, the office of Vice President remained vacant until the next election.
Before the 25th Amendment there was no provision for a Vice President, who succeeded to the Presidency on the death of the President, to nominate a new Vice President. The 25th Amendment was submitted to the states on July 6, 1965, several years after Lyndon Johnson succeeded to the Presidency. It was adopted on February 10, 1967, the day that the required thirty-eight (38) states had ratified it.
Lyndon Johnson, therefore, did not have a Vice President until the start of his own term in January, 1965. It was Hubert H. Humphrey.
Could have been who I was thinking of.