A019591 Grundy function of game in which each player has to divide precisely one set of coins into two subsets of different sizes.

0, 0, 1, 0, 2, 1, 0, 2, 3, 0, 1, 4, 0, 2, 4, 0, 2, 3, 0, 1, 4, 0, 2, 4, 0, 2, 6, 0, 1, 3, 0, 2, 5, 0, 2, 6, 0, 1, 8, 0, 2, 3, 0, 2, 6, 0, 1, 4, 0, 2, 4, 0, 2, 3, 0, 1, 4, 0, 2, 8, 0, 2, 8, 0, 1, 3, 0, 2, 5, 0, 2, 7, 0, 1, 8, 0, 2, 3, 0, 2, 8, 0, 1, 4, 0, 2, 4, 0, 2, 3, 0, 1, 4, 0, 2, 8, 0, 2, 6