Hyper-Exponential function in Nickle

hyper_exponential.nickle

#! /bin/env nickle
#
# NAME
#       hyper_exponential.nickle
#
# DESCRIPTION
#       Calculates the sequence:
#               1
#               2^2
#               (3^3)^3
#               ((4^4)^4)^4
#               (((5^5)^5)^5)^5
#               ((((6^6)^6)^6)^6)^6
#               ...
#       for terms 1..100
#
# AUTHOR
#       Morgaine Dinovan
#       - Donated to the Public Domain.
#       - Copyright and author's rights waived
#
# COPYRIGHT
#       Public Domain @ 2010-
#
# SEE ALSO
#       http://nickle.org/ -- Great arbitrary precision programming language
#       http://www.research.att.com/~njas/sequences/A053015 -- Sequence citation
#       CodeWarrior Carling -- Expert sequence naming services, ask for a quote
#       Imaze Rhiano - Googling expertise unrivalled, we are not worthy
#
# WARNING
#       This program barely gets started by the time of heat death of the
#       universe.  Don't forget to save your work.
#

int max_term = 100;

for (term=1; term <= max_term; term++)
{
        int base = term;
        for (n = 1; n < term; n++)
        {
                base **= term;
        }

        printf("Calculating term %d of sequence:\n", term);
        printf("%d\t%d\n", term, base);
}

Output for N in [1..6]:

|===================
|       N       f(N)
|===================`
|       1       1
|       2       4
|       3       19683
|       4       340282366920938463463374607431768211456
|       5       71821208748307350806616247734800247443646340206560432071396707807743664171107442303767251899701806274179648528361693395908493607789072590515205376005217038518864343357974324172025963219925969594574290850486833464941042717610929437440253086127413158881119110878565254870714807127305501250316534243564700489124592870454956410729577301690317708800960633255792684347901301624401393481617554653310899100138176009977541980333626270294189453125
|       6       80190511417718642126823324718367187228561124379028767032642984026696527685909099423272280409907130820856664234534252547383919785792220682688124768661305459764363907411429981465891057029933838727501814441806045135620442558743661835589426589946920649349657656706090250821685723480965941188343685690726218140655579217325748445855297737560689439245320090903450689423418447823641842197996266347921612064380092293936942024867447336260960218766156355104115750573964203330671274400021356103878977554933511538319549310099032097779743184906645434985411235166939435035172411964842142967548250148630273650014462188652334799262982699997472433086018965308982853218279479424824047741627463816736228241352680785451432095209668261788939711558466713720132242293745772921448940790740551844434434008906193034676987240057304500131108010023042597053394274584797206497036333055579458255064407007544868240706439176260524117888597747817247043924561435278271887309056381091805867601619602251796096400239298214815262205815810495851883048734986346152273704541907980517682891333798723716799846126881590621405666624030853266332188998637596226214198907834122541927489293463347160133763014502117756168216336158830114627329202977218109579368237166132156567117925020087348139705459145227331715719630342522870498465476785107571053263453494079678567755889095079940187526351199266190216925889027808671629102384349737214723184859355227570333017933339515713795388860158422658813142610052462552561531124468334021552575519317369712398549893299488022466192324266086303869235263681881809144657510051875031162274098866094419279562380208220324102530098886472069111428433617488472272516055190671056469982414848473047070790257893061962649402322109549904795828661722527648687617928767746379721495747519959211141040916111102472432018152460719051167544236405919983233953117838933243887167089427812364370202619892209018498976682851438682521894475191713352835282030493296589384712919392973226219211191288091922284035764198302804401510674264271313400291750479617586815808002065334610106237612814316692500812416262477849331005382194774509783776249392848253693735848749122479363634821386023094809009260807127069703642131601341758921068404932742749189556771687054015933472600318253567596808221091251211711703641198856155255542413502599219243125231124707010703756432040851991341579197236142864356940729178223076963340376298091195126023533546841565469722388179096534865015625515047046570963420216955624280137393078231569773569948982141887926144207971441215537594906005093536952329848039312778015477469720653882057885248129417138963934082124319879328510703466345181658431317850957327034071471765397226881197993545556865982592007997710424004475702357132496494376641281701478783172600043123929627756814940337917468536651352909682412163154933605051724078476404415853009241046889879088290672699116823567675505259508394940589299351448798962932730350799970185840036495181266341124321852431181496056540339690610156603751845458286632667474065265696737473864354691357207202701527065402487087291412527403277767976883461633028962004285545846440493575225314130774394979967937378817702113126306072419455152323267882594983571298483500465825807896703872181789457381955432647872387911051213467617557987023849695828359459524711163550419985869657676704055817908644687127673576453955210839424436840190659827027252321398501932586759740411729952289617418278134765622813326050166959957384064382813113083786831755203742521598218605765840629154362364687711303817838049012975261098818706031083778779921930338153969952829372320637217705971993553150607385902119752440657964303988303972862883646147475106786443197703235867584836077370838721142011678759973762131722424134687500917686363953045267662773093137815945736556948724190193573407163764867877153195367591431100153449614703833275030770886797919827969802690303977026301264215440127629900242728911768560267326235803994874362448037123613763254450430482381895799210777320387010513081228433695682802772932190357949981416457818029991504540768966753037459786011903710783960269984510243360995482400887126305528142426809242291255927388970092499522644826730634353554532290013554216298408936830014398138795251653589037358576904476827007923274508531053478037943367964176441257037590277013740407417782007327008826098874282368889270784570950786912620185328736577519896968757943687578610897754204026914925858221388080673050441824821755725576167340253305804521182043728264128801559756563257488713680680809133701727450964058594763006137824371369361316200344599880051384402035659367496743923603271929776588780455945342609429175333833732087253316702961877934549090835555674032605356077637644879327372936947591318361663596803630395896131225284879988495303929143762967731049100198363156149538755837425424959700972683697853135492946217817764276303379016406744567350241586674650572185257582725886064487676298551839944386144412978961115582326074861396098373880273079980787032483386367357279417962171668621359717512606596304376531440825003611118804365098297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