MathDB

There are

n

cards. Max and Lewis play, alternately, the following game Max starts the game, he removes exactly

1

card, in each round the current player can remove any quantity of cards, from

1

card to

t+1

cards, which

t

is the number of removed cards by the previous player, and the winner is the player who remove the last card. Determine all the possible values of

n

such that Max has the winning strategy.

3