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., 1/5,  and win 2 dollars with prob., 4/5,

    for n=1 to n=, N0



             1/2
         10 2
[- 5/7 + -------, 1.5300968740935360629, 2.6504843704676803143,
            7

    3.0283443530635727214, 4.0213342689437193557, 4.5047338628478755211,

    5.4102919019850867198, 5.9661224341505561760, 6.8116767193612787958,

    7.4172159888660470999]



                             and in Maple notation



[-5/7+10/7*2^(1/2), 1.5300968740935360629, 2.6504843704676803143, 3.02834435306\
35727214, 4.0213342689437193557, 4.5047338628478755211, 5.4102919019850867198,
5.9661224341505561760, 6.8116767193612787958, 7.4172159888660470999]