1038154236987392
                  y := ----------------
                       617673396283947

                3383826162019367796397224108032
           y := -------------------------------
                1144561273430837494885949696427

>
> y := 2.0;
                         y := 2.0

> for i from 1 to 6 do
>    y := f(y);
> end do;
                     y := 2.666666666

                     y := 1.185185186

                     y := 2.867855510

                    y := 0.5052950713

                     y := 1.680749473

                     y := 2.956439504

> quit
bytes used=447580, alloc=393144, time=0.01
[ringland@solius mth337]$ maple map1.maple.txt
    |\^/|     Maple 11 (IBM INTEL LINUX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> f :=  proc(y)
>   global r;
>   return r*y*(1-y/3);
> end proc:
>
> r:=3.1;
                         r := 3.1

>
> y := 2;
                          y := 2

> for i from 1 to 1 do
>    y := f(y);
> end do;
                     y := 2.066666667

>
> Digits := 50;
                       Digits := 50

> y := 2.0;
                         y := 2.0

> for i from 1 to 10 do
>    y := f(y);
> end do;
 y := 2.0666666666666666666666666666666666666666666666666

 y := 1.9931851851851851851851851851851851851851851851853

 y := 2.0736606522176497485139460448102423411065386374027

 y := 1.9849439046337947260947471469429692449745475387082

 y := 2.0819903896704799728504531856621045678292169291981

 y := 1.9749967592089096407225194702837973270466945538340

 y := 2.0918573480324008849029962429019463119478528477647

 y := 1.9630283755660552754550646286850726954812377591753

 y := 2.1034582142013487348370198208510835709634719668230

 y := 1.9486994565033497450652316813871665032928059142676

> quit
bytes used=454132, alloc=393144, time=0.01
[ringland@solius mth337]$ maple map1.maple.txt
    |\^/|     Maple 11 (IBM INTEL LINUX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> f :=  proc(y)
>   global r;
>   return r*y*(1-y/3);
> end proc:
>
> r:=2.5;
                         r := 2.5

>
> y := 2;
                          y := 2

> for i from 1 to 1 do
>    y := f(y);
> end do;
                     y := 1.666666667

>
> Digits := 50;
                       Digits := 50

> y := 2.0;
                         y := 2.0

> for i from 1 to 10 do
>    y := f(y);
> end do;
 y := 1.6666666666666666666666666666666666666666666666666

 y := 1.8518518518518518518518518518518518518518518518519

 y := 1.7718335619570187471422039323273891175125743026978

 y := 1.8134220954947997084377228174940432745156129313543

 y := 1.7931388250463738769227439362944775875064432473312

 y := 1.8033913577086928395118282641805651411705439290604

 y := 1.7982947367230633216220007249860581042330355073444

 y := 1.8008502083694319485067865306849246059181281472847

 y := 1.7995742934367244823027466675718026041095055844658

 y := 1.8002127022599060789716658639712836075333108458420

> quit
bytes used=454164, alloc=393144, time=0.01
[ringland@solius mth337]$ maple map1.maple.txt
    |\^/|     Maple 11 (IBM INTEL LINUX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> f :=  proc(y)
>   global r;
>   return r*y*(1-y/3);
> end proc:
>
> r:=2.5;
                         r := 2.5

>
> y := 2;
                          y := 2

> for i from 1 to 1 do
>    y := f(y);
> end do;
                     y := 1.666666667

>
> Digits := 50;
                       Digits := 50

> y := 2.0;
                         y := 2.0

> for i from 1 to 15 do
>    y := f(y);
> end do;
 y := 1.6666666666666666666666666666666666666666666666666

 y := 1.8518518518518518518518518518518518518518518518519

 y := 1.7718335619570187471422039323273891175125743026978

 y := 1.8134220954947997084377228174940432745156129313543

 y := 1.7931388250463738769227439362944775875064432473312

 y := 1.8033913577086928395118282641805651411705439290604

 y := 1.7982947367230633216220007249860581042330355073444

 y := 1.8008502083694319485067865306849246059181281472847

 y := 1.7995742934367244823027466675718026041095055844658

 y := 1.8002127022599060789716658639712836075333108458420

 y := 1.7998936111681708195531920409880059857846534888344

 y := 1.8000531849837616419087051999617512299719672398952

 y := 1.7999734051509170976072194723144401760308615024600

 y := 1.8000132968351364530777617285540677417321636061633

 y := 1.7999933514350935862561081864736409398814007525632

> quit
bytes used=467656, alloc=393144, time=0.02
[ringland@solius mth337]$ maple map1.maple.txt
    |\^/|     Maple 11 (IBM INTEL LINUX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> f :=  proc(y)
>   global r;
>   return r*y*(1-y/3);
> end proc:
>
> r:=2.5;
                         r := 2.5

>
> y := 2;
                          y := 2

> for i from 1 to 1 do
>    y := f(y);
> end do;
                     y := 1.666666667

>
> Digits := 50;
                       Digits := 50

> y := 2.0;
                         y := 2.0

> for i from 1 to 55 do
>    y := f(y);
> end do;
 y := 1.6666666666666666666666666666666666666666666666666

 y := 1.8518518518518518518518518518518518518518518518519

 y := 1.7718335619570187471422039323273891175125743026978

 y := 1.8134220954947997084377228174940432745156129313543

 y := 1.7931388250463738769227439362944775875064432473312

 y := 1.8033913577086928395118282641805651411705439290604

 y := 1.7982947367230633216220007249860581042330355073444

 y := 1.8008502083694319485067865306849246059181281472847

 y := 1.7995742934367244823027466675718026041095055844658

 y := 1.8002127022599060789716658639712836075333108458420

 y := 1.7998936111681708195531920409880059857846534888344

 y := 1.8000531849837616419087051999617512299719672398952

 y := 1.7999734051509170976072194723144401760308615024600

 y := 1.8000132968351364530777617285540677417321636061633

 y := 1.7999933514350935862561081864736409398814007525632

 y := 1.8000033242456170274429489108677314233077003551097

 y := 1.7999983378679826455099204071542428157835279457072

 y := 1.8000008310637064415424440406636069606658637521043

 y := 1.7999995844675712234919743511381995007056601912056

 y := 1.8000002077660704989212087380016321826865924542352

 y := 1.7999998961169287782560201620843445662483096451933

 y := 1.8000000519415266177949178673476178669478074858450

 y := 1.7999999740292344428340515770778912165575698645299

 y := 1.8000000129853822165157545237301082070916458571201

 y := 1.7999999935073087512253299806319376491216796372774

 y := 1.8000000032463455892581352997547111635407172884949

 y := 1.7999999983768271965886326127095196644676142153872

 y := 1.8000000008115863995101087355333089016400477171304

 y := 1.7999999995942067996960518956751940285132645129842

 y := 1.8000000002028966000147506176516361958532192774912

 y := 1.7999999998985516999583188325928938184575140963609

 y := 1.8000000000507241500122641190524306181440179686609

 y := 1.7999999999746379249917238243117291292371434275905

 y := 1.8000000000126810375036020588035309129005060362270

 y := 1.7999999999936594812480649633380947419367948684653

 y := 1.8000000000031702593759340165159162625024548659625

 y := 1.7999999999984148703120246162882829541322243594165

 y := 1.8000000000007925648439855979924187721527834292487

 y := 1.7999999999996037175780066775379306789942031050406

 y := 1.8000000000001981412109965303645696764248132877198

 y := 1.7999999999999009293945017021010989158112887992848

 y := 1.8000000000000495353027491407702964805948773695082

 y := 1.7999999999999752323486254275700632443283670189880

 y := 1.8000000000000123838256872857037712489921835087597

 y := 1.7999999999999938080871563570203150932930105511438

 y := 1.8000000000000030959564218214578926328007689819390

 y := 1.7999999999999984520217890892630662284614342382670

 y := 1.8000000000000007739891054553664700219847375425683

 y := 1.7999999999999996130054472723162657730614948967172

 y := 1.8000000000000001934972763638417423094827184683198

 y := 1.7999999999999999032513618180790976442620072450499

 y := 1.8000000000000000483743190909604433776198379972725

 y := 1.7999999999999999758128404545197763611277914063137

 y := 1.8000000000000000120935797727401113319205318980805

 y := 1.7999999999999999939532101136299442121608409512691

> quit
bytes used=573136, alloc=458668, time=0.02
[ringland@solius mth337]$ maple map1.maple.txt
    |\^/|     Maple 11 (IBM INTEL LINUX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2007
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> f :=  proc(y)
>   global r;
>   return r*y*(1-y/3);
> end proc:
>
> r:=2.52;
                        r := 2.52

>
> y := 2;
                          y := 2

> for i from 1 to 1 do
>    y := f(y);
> end do;
                     y := 1.680000000

>
> Digits := 50;
                       Digits := 50

> y := 2.0;
                         y := 2.0

> for i from 1 to 55 do
>    y := f(y);
> end do;
 y := 1.6800000000000000000000000000000000000000000000000

 y := 1.8627840000000000000000000000000000000000000000000

 y := 1.7794457262489600000000000000000000000000000000000

 y := 1.8244044723082006987604030914560000000000000000000

 y := 1.8015998602110077906418589960214250481237381753797

 y := 1.8135915204293884701668897063114228280626574919938

 y := 1.8073947009844189243545413326044514786165841092836

 y := 1.8106271381576277305098102437094676008633778029793

 y := 1.8089490560736017256789969087658229420266114968569

 y := 1.8098224038310336171923744895173417704608069016951

 y := 1.8093684655908623376759782163622619882401212249376

 y := 1.8096045680982825576590838253248618958863701511020

 y := 1.8094818095866477714378468110963652159245177733309

 y := 1.8095456480093780689062316410704728327204951148579

 y := 1.8095124531107015407400916742487338590608645983058

 y := 1.8095297147502924553151259898274343694763379557717

 y := 1.8095207387767461715822495722488232374866681920892

 y := 1.8095254063043616974449538976347121979079664561612

 y := 1.8095229791957806386883882140558780179896054538285

 y := 1.8095242412938054105786504286976548404904004897145

 y := 1.8095235850032550654129255966254536718713688489822

 y := 1.8095239262744554982130804633315915011807251054380

 y := 1.8095237488134621673204725795124995754034515255812

 y := 1.8095238410931870531569584868617007964454373242878

 y := 1.8095237931077323713833558013160454429798519888687

 y := 1.8095238180601694167015563512887531222076480666319

 y := 1.8095238050849023182953371021864732902538792351375

 y := 1.8095238118320412541256272668399807697792937633713

 y := 1.8095238083235290195696856862154191891862991128497

 y := 1.8095238101479553848040740710032508448066269493709

 y := 1.8095238091992536757651289066853321325761186867816

 y := 1.8095238096925785647041265002599720293220379214112

 y := 1.8095238094360496225204046994428383976118615468635

 y := 1.8095238095694446724733962345355227281991969687915

 y := 1.8095238095000792465025607924111167182975556566736

 y := 1.8095238095361492680086715525311148769628660621266

 y := 1.8095238095173928568258390769590144038560998502372

 y := 1.8095238095271461906410052846207521980171687288442

 y := 1.8095238095220744570571440904631421139752606692506

 y := 1.8095238095247117585207587346517829975788561566637

 y := 1.8095238095233403617596809646741850254277369970926

 y := 1.8095238095240534880754419039506698922664235618660

 y := 1.8095238095236826623912463504262491744499963869675

 y := 1.8095238095238754917470280747357325696869941946964

 y := 1.8095238095237752204820215879581237659572610068317

 y := 1.8095238095238273615398249637495227646039772968470

 y := 1.8095238095238002481897672090591635558671668719914

 y := 1.8095238095238143471317972416931542447695584521188

 y := 1.8095238095238070156819416247762081411974608240860

 y := 1.8095238095238108280358665455872780514342431993713

 y := 1.8095238095238088456118255867693770441080769091397

 y := 1.8095238095238098764723268853557280534752614981993

 y := 1.8095238095238093404248662100911074166990946368901

 y := 1.8095238095238096191695457612287863703635269759103

 y := 1.8095238095238094742223123946372139250330613940926

> quit
bytes used=573092, alloc=458668, time=0.02
[ringland@solius mth337]$