But a senior budget official said no such program would be included in the plan.
At the same time, the state was hit with some new expenses, budget officials said.
"We don't know what to think," said the top budget official in one department.
But he is being paid through a welfare agency, budget officials say.
He said specific decisions were still being discussed by budget officials.
The budget officials then asked the two groups to review Smithsonian research.
Only one program has been expanded with the funds, budget officials said.
Budget officials said the 13.93 percent increase could be the largest percentage rise in state history.
Budget officials predict the change will cut the state's prison population by 36,000, or 22 percent, and save $250 million over three to four years.
What the mayor's budget officials came up with does raise some questions about how quickly the board's costs have been increasing.