"Average number of loss runs until more than n losses in a row

"
"Prob to win","n=0","n=1","n=2","n=3","n=4","n=5","n=6","n=7","n=8","n=9","n=10"
"1","10%",1.11,1.23,1.37,1.52,1.69,1.88,2.09,2.32,2.58,2.87,3.19
"2","20%",1.25,1.56,1.95,2.44,3.05,3.81,4.77,5.96,7.45,9.31,11.64
"3","30%",1.43,2.04,2.92,4.16,5.95,8.5,12.14,17.35,24.78,35.4,50.57
"4","40%",1.67,2.78,4.63,7.72,12.86,21.43,35.72,59.54,99.23,165.4,275.6
"5","50%",2,4,8,16,32,64,128,256,512,1024,2048
"6","60%",2.5,6.25,15.62,39.06,97.66,244.1,610.4,1526,3815,9537,23840
"7","70%",3.33,11.11,37.04,123.5,411.5,1372,4572,15240,50810,169400,564500
"8","80%",5,25,125,625,3125,15620,78120,390600,1953000,9766000,48830000
"9","90%",10,100,1000,10000,1e+05,1e+06,1e+07,1e+08,1e+09,1e+10,1e+11