4831.sagews

L = [[n,(1.0 - factorial(365)/(factorial(365-n)*365**n))] for n in range(1,100)]
show(line(L, rgbcolor=(1,0,0)))

for n in range(1,100):
    x =1.0 - factorial(365)/(factorial(365-n)*365^n)
    print "x",n,"=",x

x 1 = 0.000000000000000 x 2 = 0.00273972602739725 x 3 = 0.00820416588478134 x 4 = 0.0163559124665503 x 5 = 0.0271355736997936 x 6 = 0.0404624836491115 x 7 = 0.0562357030959754 x 8 = 0.0743352923516690 x 9 = 0.0946238338891667 x 10 = 0.116948177711078 x 11 = 0.141141378321733 x 12 = 0.167024788838064 x 13 = 0.194410275232429 x 14 = 0.223102512004973 x 15 = 0.252901319763686 x 16 = 0.283604005252850 x 17 = 0.315007665296561 x 18 = 0.346911417871789 x 19 = 0.379118526031537 x 20 = 0.411438383580580 x 21 = 0.443688335165206 x 22 = 0.475695307662550 x 23 = 0.507297234323985 x 24 = 0.538344257914529 x 25 = 0.568699703969464 x 26 = 0.598240820135939 x 27 = 0.626859282263242 x 28 = 0.654461472342399 x 29 = 0.680968537477777 x 30 = 0.706316242719269 x 31 = 0.730454633728644 x 32 = 0.753347527850321 x 33 = 0.774971854175772 x 34 = 0.795316864620154 x 35 = 0.814383238874715 x 36 = 0.832182106379880 x 37 = 0.848734008216385 x 38 = 0.864067821082121 x 39 = 0.878219664366722 x 40 = 0.891231809817949 x 41 = 0.903151611481735 x 42 = 0.914030471561869 x 43 = 0.923922855656120 x 44 = 0.932885368551426 x 45 = 0.940975899465775 x 46 = 0.948252843367255 x 47 = 0.954774402833299 x 48 = 0.960597972879422 x 49 = 0.965779609322676 x 50 = 0.970373579577988 x 51 = 0.974431993334428 x 52 = 0.978004509334275 x 53 = 0.981138113483913 x 54 = 0.983876962758852 x 55 = 0.986262288816446 x 56 = 0.988332354885201 x 57 = 0.990122459341170 x 58 = 0.991664979389261 x 59 = 0.992989448417817 x 60 = 0.994122660865348 x 61 = 0.995088798805291 x 62 = 0.995909574895365 x 63 = 0.996604386830947 x 64 = 0.997190478966976 x 65 = 0.997683107312492 x 66 = 0.998095704640405 x 67 = 0.998440042979400 x 68 = 0.998726391254414 x 69 = 0.998963666308386 x 70 = 0.999159575965157 x 71 = 0.999320753177319 x 72 = 0.999452880641457 x 73 = 0.999560805556019 x 74 = 0.999648644444815 x 75 = 0.999719878173811 x 76 = 0.999777437453165 x 77 = 0.999823779243739 x 78 = 0.999860954581361 x 79 = 0.999890668396851 x 80 = 0.999914331949313 x 81 = 0.999933108508368 x 82 = 0.999947952921580 x 83 = 0.999959645689882 x 84 = 0.999968822149443 x 85 = 0.999975997326010 x 86 = 0.999981586989816 x 87 = 0.999985925397695 x 88 = 0.999989280165915 x 89 = 0.999991864673859 x 90 = 0.999993848356124 x 91 = 0.999995365199819 x 92 = 0.999996520725344 x 93 = 0.999997397693202 x 94 = 0.999998060746715 x 95 = 0.999998560170849 x 96 = 0.999998934920902 x 97 = 0.999999215051295 x 98 = 0.999999423654101 x 99 = 0.999999578399028