■■■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