■■■１００人じゃんけんの回数の期待値■■■ <正確な表記>
E(1)=    0 
E(2)=    3/2 
E(3)=    9/4 
E(4)=    45/14 
E(5)=    157/35 
E(6)=    13497/2170 
E(7)=    225161/26040 
E(8)=    10007591/826770 
E(9)=    200190574/11712575 
E(10)=    8327737507/342007190 
E(11)=    52638199503/1504831636 
E(12)=    389862062796301/7700975897230 
E(13)=    387573105427167083/5255916049859475 
E(14)=    1328352828484019015863/12300345246971131350 
E(15)=    44814867627964596359957/282087917663871278960 
E(16)=    1248966073671106510217431/5324409445905570390370 
E(17)=    1188413940161233998870184916/3420933068994328975812725 
E(18)=    462490778649964859552472265471787/896770236572311386377499356950 
E(19)=    548979826595108547184034682392229661/715622648784704486329244486846100 
E(20)=    8576155080550131610959831097970895507929/7503833033267727220482012085501624614 
・
・
・
E(100)=   
 1351198479578420249808147319421555094108376207781267572418784602977460078145596497741340120982953421251561180853456492885340875570071465264349755972313215289385249259736484175958322082713385664532906174309383522668855541250534667098658186825877070432966329396610504938991682378937255321931402833817093913728090905537587826724554649657412914718313406659969335230037388404458115635948390005794395215310484750788116399702753473508135245612402829991881520480778664579236207524050591510924302426887952429582764040241942372536380778137140770794368690622994712687676269448663470567666066861448087917426559769107610035041503991971912744697986222897854348906024792052174884986297171880831747609763054357917943206209795051073347894400775957894024335574495539553850414413736577579395778586060204424495759043358277197451625279651504606056448096606531111862224826364793153970183285253334944076383819640157266531518037591941969731747563/9970443844055926442632942774593099321005463389996855945724645138764370635559932450316570996058833473569514978660357759548418594670205898905810021373641877599510227920202720805984398230825061128204345822589518956661165498373256363595452196528319821810550795314166501172900688684337154930753577609776721605038468704038928768792010447725350156066798677960439702028237265620266055098825025021456167733048055813318362807613357075679613099578482578211853002531198564755040786626404571762774451984742734691173600638980591768610440293945821590918294040721435480569394015581543982381270596132535667676861959366927132886641360104694133954484242651121829014843241760148449605418105636748324872198295677449448619643757250310343519778698759205052056225989785179233391320030280467385257615424127144052694559005624231185621389122653975046904897713205769818679474928000385863673975165706107298203111494945974893909119506 

■■■１００人じゃんけんの回数の期待値■■■　<概数での表記>
E(1)=    0.00000E+00
E(2)=    1.50000E+00
E(3)=    2.25000E+00
E(4)=    3.21429E+00
E(5)=    4.48571E+00
E(6)=    6.21982E+00
E(7)=    8.64674E+00
E(8)=    1.21044E+01
E(9)=    1.70919E+01
E(10)=    2.43496E+01
E(11)=    3.49795E+01
E(12)=    5.06250E+01
E(13)=    7.37404E+01
E(14)=    1.07993E+02
E(15)=    1.58868E+02
E(16)=    2.34574E+02
E(17)=    3.47395E+02
E(18)=    5.15729E+02
E(19)=    7.67136E+02
E(20)=    1.14290E+03
E(21)=    1.70491E+03
E(22)=    2.54588E+03
E(23)=    3.80483E+03
E(24)=    5.69017E+03
E(25)=    8.51435E+03
E(26)=    1.27459E+04
E(27)=    1.90873E+04
E(28)=    2.85921E+04
E(29)=    4.28403E+04
E(30)=    6.42012E+04
E(31)=    9.62287E+04
E(32)=    1.44252E+05
E(33)=    2.16266E+05
E(34)=    3.24260E+05
E(35)=    4.86217E+05
E(36)=    7.29110E+05
E(37)=    1.09340E+06
E(38)=    1.63976E+06
E(39)=    2.45923E+06
E(40)=    3.68833E+06
E(41)=    5.53185E+06
E(42)=    8.29697E+06
E(43)=    1.24445E+07
E(44)=    1.86654E+07
E(45)=    2.79966E+07
E(46)=    4.19930E+07
E(47)=    6.29870E+07
E(48)=    9.44775E+07
E(49)=    1.41712E+08
E(50)=    2.12564E+08
E(51)=    3.18840E+08
E(52)=    4.78253E+08
E(53)=    7.17370E+08
E(54)=    1.07604E+09
E(55)=    1.61405E+09
E(56)=    2.42106E+09
E(57)=    3.63157E+09
E(58)=    5.44732E+09
E(59)=    8.17095E+09
E(60)=    1.22564E+10
E(61)=    1.83845E+10
E(62)=    2.75767E+10
E(63)=    4.13650E+10
E(64)=    6.20473E+10
E(65)=    9.30709E+10
E(66)=    1.39606E+11
E(67)=    2.09409E+11
E(68)=    3.14113E+11
E(69)=    4.71169E+11
E(70)=    7.06754E+11
E(71)=    1.06013E+12
E(72)=    1.59019E+12
E(73)=    2.38529E+12
E(74)=    3.57794E+12
E(75)=    5.36690E+12
E(76)=    8.05035E+12
E(77)=    1.20755E+13
E(78)=    1.81133E+13
E(79)=    2.71699E+13
E(80)=    4.07549E+13
E(81)=    6.11323E+13
E(82)=    9.16985E+13
E(83)=    1.37548E+14
E(84)=    2.06322E+14
E(85)=    3.09482E+14
E(86)=    4.64223E+14
E(87)=    6.96335E+14
E(88)=    1.04450E+15
E(89)=    1.56675E+15
E(90)=    2.35013E+15
E(91)=    3.52520E+15
E(92)=    5.28779E+15
E(93)=    7.93169E+15
E(94)=    1.18975E+16
E(95)=    1.78463E+16
E(96)=    2.67695E+16
E(97)=    4.01542E+16
E(98)=    6.02313E+16
E(99)=    9.03469E+16
E(100)=    1.35520E+17
・
・
・
E(1000)= 4.112802E+175