The expected number of rounds until the first time to be in possession of >=\ n dollars if at each round you lose one dollar with prob., 1/2, and win 2 dollars with prob., 1/2, for n=1 to n=, N0 1/2 1/2 1/2 1/2 1/2 [5 + 1, 2 5 , -2 + 4 5 , -7 + 7 5 , -16 + 12 5 , 12.721359549995793928, 14.790243257493059982, 16.747670784988643606, 18.773982019981493284, 20.757720782469926587] and in Maple notation [5^(1/2)+1, 2*5^(1/2), -2+4*5^(1/2), -7+7*5^(1/2), -16+12*5^(1/2), 12.721359549\ 995793928, 14.790243257493059982, 16.747670784988643606, 18.773982019981493284, 20.757720782469926587]