I massimi di fn(a, b) per n fino a 100

La tabella seguente mostra i massimi di fn(a, b) per n fino a 100 (Mauro Fiorentini, 2019).

n

Massimo di fn(a, b)

1

f1(1, 1) = 1

2

f2(1, 2) = f2(2, 1) = 1

3

f3(2, 2) = 2

4

f4(1, 1) = 6

5

f5(1, 1) = 22

6

f6(2, 3) = f6(3, 2) = 105

7

f7(2, 3) = f7(3, 2) = 675

8

f8(2, 3) = f8(3, 2) = 4872

9

f9(3, 3) = 40614

10

f10(3, 3) = 403704

11

f11(3, 3) = 4342080

12

f12(3, 3) = 50457000

13

f13(3, 3) = 31548456

14

f14(3, 3) = 8484089328

15

f15(3, 3) = 121882518576

16

f16(3, 3) = 1865935562400

17

f17(3, 3) = 30341974222944

18

f18(3, 3) = 522466493255424

19

f19(3, 3) = 9499883854364928

20

f20(3, 3) = 181927524046316544

21

f21(3, 4) = f21(4, 3) = 3713847873452280000

22

f22(3, 4) = f22(4, 3) = 80378118226450517760

23

f23(3, 4) = f23(4, 3) = 1816649795206970760960

24

f24(3, 4) = f24(4, 3) = 42807228653571471429120

25

f25(3, 4) = f25(4, 3) = 1050053107559174529845760

26

f26(3, 4) = f26(4, 3) = 26775033564279603823626240

27

f27(4, 4) = 715407112918152136527252480

28

f28(4, 4) = 20018067842268709003252500480

29

f29(4, 4) = 579389177919605626393411368960

30

f30(4, 4) = 17328459487908294842847267962880

31

f31(4, 4) = 535025615115867976451616442859520

32

f32(4, 4) = 17037997770108462250063685028249600

33

f33(4, 4) = 559133830378456724494209860938137600

34

f34(4, 4) = 18893331300809033314497237259793203200

35

f35(4, 4) = 656835441286007546828319225935108505600

36

f36(4, 4) = 23476640136674267676755525095322674790400

37

f37(4, 4) = 862061104004737850153371014899539083264000

38

f38(4, 4) = 32498905634297253338044396006940572975104000

39

f39(4, 4) = 1257035019765756085393377171200839214235648000

40

f40(4, 4) = 49854694046299109103163343295252812872679424000

41

f41(4, 4) = 2026230249915637244933210500180880446319886336000

42

f42(4, 4) = 84343347446589840783703826238324006578450595840000

43

f43(4, 4) = 3593833513439109755834361026714473891926693642240000

44

f44(4, 4) = 156670005507979613012516419182287934385637299322880000

45

f45(4, 4) = 6984246920498833692913876755756597070276066085437440000

46

f46(4, 4) = 318238681842599327051458217585700790024273716219740160000

47

f47(4, 4) = 14814538609651181244167692287532026140311123784525414400000

48

f48(4, 4) = 704263245319413376749969931065204658805518666466485862400000

49

f49(4, 4) = 34175193583943652647114797074878190567326087379993545932800000

50

f50(4, 4) = 1692155717353442093263011587875802879868645346836683843174400000

51

f51(4, 4) = 85458244920236671393060697163051181285986154582711390017945600000

52

f52(4, 4) = 4400368852210401097332066843675300367445346671000839237140480000000

53

f53(4, 4) = 230934463767268422590831262819074718968853039862558397174906880000000

54

f54(4, 4) = 12348143641501702402511714281353984635362526737711613553577820160000000

55

f55(4, 4) = 672483870902151534907553668835140121261078313458103760327047905280000000

56

f56(4, 4) = 37289660302921028137680887639953289054344094803085368613695672811520000000

57

f57(4, 4) = 2104675849759356154420676356880775182792988694980762990610094437171200000000

58

f58(4, 4) = 120876170677282772735967867734825091157133197361813490930146203611955200000000

59

f59(4, 4) = 7061998950304532283523925393066483689801383822081604073858867483010662400000000

60

f60(4, 4) = 419587960499943661286519740885135081092931072281626039067664166608384819200000000

61

f61(4, 4) = 25345897844005172966319422881391911102354436064850089290074157505921731788800000000

62

f62(4, 4) = 1556203091547089302850858388083240873260005441371249343303247703863732469760000000000

63

f63(4, 5) = f63(5, 4) = 97119997584477517977672252398485639044990880710903350122312812653822329529303040000000

64

f64(4, 5) = f64(5, 4) = 6191352250911576731559619198192792762379323829939019243591798783400516673580564480000000

65

f65(4, 5) = f65(5, 4) = 400824793580186218711260797728976267071309177520368674861410196006832320138172170240000000

66

f66(4, 5) = f66(5, 4) = 26346089594848638642074655270946874714822412207489974873071217155955521627440398991360000000

67

f67(4, 5) = f67(5, 4) = 1757816154837548842723349862984220256060106177864224729712855856692432028797740934758400000000

68

f68(4, 5) = f68(5, 4) = 119023403710744951123894675594873133426430365988842801843501749768122900262629228832358400000000

69

f69(4, 5) = f69(5, 4) = 8177140695942634361547063402820835943773316748379456814426335038339476050007121394977996800000000

70

f70(4, 5) = f70(5, 4) = 569891078743085589262139198802011057182265610703895053819247277949244159069548013001533030400000000

71

f71(4, 5) = f71(5, 4) = 40282558949153180167634685833972184412213070508930880745763228743779085055518668610634095001600000000

72

f72(4, 5) = f72(5, 4) = 2887306590841903741805759435899721034217469002163503531068955865257604115661886191583423889408000000000

73

f73(4, 5) = f73(5, 4) = 209815469566837979271691503296617662160372555822519367427094556833255515266405443718064812064768000000000

74

f74(4, 5) = f74(5, 4) = 15455074711779651111632185803843624224395175154244422294074508193471351590456315732254727755268096000000000

75

f75(4, 5) = f75(5, 4) = 1153761473417551377437949638825282053722821488914351546677609041425296576888862806094863144067268608000000000

76

f76(5, 5) = 87338362748708515043734338293126275099720338083143524424134436825450235870511139367765654085713264640000000000

77

f77(5, 5) = 6724929912380386741992716151286660883311799165224062119046708485012484536934646866256838072453598019584000000000

78

f78(5, 5) = 524471990095028897830846486935503085900797197587655036847631058488839593425354445216769872684416535363584000000000

79

f79(5, 5) = 41422830995763907588214845398764719878640336538272561593769646036204148428067572946645264373151119775367168000000000

80

f80(5, 5) = 3312630323379905018655536407194604197171406448578454480961522470439206170039935065697875834713571779625877504000000000

81

f81(5, 5) = 268198450622515311243186068761502234360549526939230612482890020712632159337624133260261300926821058124516950016000000000

82

f82(5, 5) = 21979892960577460309729264822752342565065741921785953923396923195532524170418849051968107479493453383855065006080000000000

83

f83(5, 5) = 1823132829369994797500248351334754242157629714512000479624936506387780387762001838562576928870058711524053593620480000000000

84

f84(5, 5) = 153028856787925924940415427404545373162788352429576943544785736027220868282559690823675665967851694795571389121167360000000000

85

f85(5, 5) = 12996633940270690479324689899664818640584281092544909346648925364534930070590538014021721753767685458317614368298106880000000000

86

f86(5, 5) = 1116689838247001466558997209539711287321145081281188372032859602074118535796676712991416585597413025926626564345083985920000000000

87

f87(5, 5) = 97055748086229188609865426781053825314259877566322396695766561743986356906758256488217585777249361273468496762461434675200000000000

88

f88(5, 5) = 8531809200057715560562444613097222229429670427899111630028186191487917734847112947116942620420798772789823368481238889267200000000000

89

f89(5, 5) = 758468518065264289273606176326225736032320398199634290103433023918034835531645605834927887644832680931030763761164391704166400000000000

90

f90(5, 5) = 68180014772457170398253558079958438063615604333807404365155357584652116268186371852664675217794298853247671900480788719940403200000000000

91

f91(5, 5) = 6196513918235895952249042341573182863669224446976446944188256685978570018528818247491191157072772406737872608823010719217536204800000000000

92

f92(5, 5) = 569321233514589010080145509755429803765279708141847858221916529277669974243083365929041432865075812042436026901174132843302879232000000000000

93

f93(5, 5) = 52873349982414045380478486576526447537247521858520801124882394407847199867257064750437896843755955070449530803379968064497901371392000000000000

94

f94(5, 5) = 4962913294924908343746980384313081619813968603278214814250723650995544328901785445040922502162382589882536723469848309509012999634944000000000000

95

f95(5, 5) = 470770121830396723409370572522273310255814826331386247311060755627228746352581906055297561816968008757215710725414595899840048924721152000000000000

96

f96(5, 5) = 45123870813748089403233691752273452520627966181157196071438402170296758987667936515029611494483441685955918502497278812003703040474349568000000000000

97

f97(5, 5) = 4370014829872119998380235614879821668759726770024054976157250864333637556040606226032618128572613113781962031030412251208750559840100679680000000000000

98

f98(5, 5) = 427556349702342783948415264144018860153221568576218535847895408096019074810698105068299345970772557498499228120564750189438399614509415137280000000000000

99

f99(5, 5) = 42256485030542830756769856657136642418437309883576963364374773015428634215141194083143312421202510902804167037052453665014103502356283035484160000000000000

100

f100(5, 5) = 4218319551850501876511163625350600290688906396486873611825770512811275586244626044819917402797237254430748828710242210004114787617902436213063680000000000000