Next number in this sequence

Find the next number in the sequence

1, 2, 6, 21, 88, __?




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There are three light switches outside a room. One of the switches is connected to a light bulb inside the room.
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Amazing Facts

Crossword

The day before the 1996 U.S. presidential election, the NYT Crossword contained the clue “Lead story in tomorrow’s newspaper,” the puzzle was built so that both electoral outcomes were correct answers, requiring 7 other clues to have dual responses.