Consider a fair 2-player gambler's ruin with initial capitals A and A, i.e. \
    they both have the same initial capital if A dollars



in the following list of, 20, numbers , the first entry is the expectation di\
    vided by A^2, the second is the limit of the variance divided by A^4

and the third trough the, 20,

    are the limits as a goes to infinity of the scaled moments (about the mean)



[1, 2/3, 4/5*3^(1/2)*2^(1/2), 309/35, 1832/105*3^(1/2)*2^(1/2), 98443/385, 
3628244/5005*3^(1/2)*2^(1/2), 70588909/5005, 1683488816/32725*3^(1/2)*2^(1/2),
2022316706127/1616615, 315551389735444/56581525*3^(1/2)*2^(1/2), 
211782797094099093/1301375075, 27895508756695287336/32534376875*3^(1/2)*2^(1/2)
, 2849017213439645886259/97603130625, 71754069361466848452508/404355826875*3^(1
/2)*2^(1/2), 201937276266589813412619649/29248404810625, 
45913415525773470799081475552/965197358750625*3^(1/2)*2^(1/2), 
4689217618982932709142011324669/2252127170418125, 
392949772819805245598203287799012/24508442736903125*3^(1/2)*2^(1/2), 
49688041845424812751300769418612299/63721951115948125]


                          and that list in decimals is



[1., .66666666666666666667, 1.9595917942265424786, 8.8285714285714285714, 42.73\
7763893131259770, 255.69610389610389610, 1775.6935988640577894, 14103.678121878\
121878, 126010.34642879135344, 1250957.5292367075649, 13660640.862506747726, 
162737708.10778675241, 2100232711.7489454497, 29189813843.019299016, 
434668787296.09441079, 6904215035796.8421121, 116519631313642.16450, 
2082128256599445.4176, 39273259761289810.763, 779763346464591374.25]




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