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 Digit Sequence (Posted on 2005-06-28)
Find the rule and continue this sequence of digits:

1235813941213533488671216141383377554...

Is there a limit to the number of times in a row a digit can appear?

 See The Solution Submitted by Jer Rating: 3.6250 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: Theoretically (growing vs. shrinking patterns) | Comment 10 of 15 |
(In reply to Theoretically (growing vs. shrinking patterns) by Erik O.)

There's a length-9 string of 1's (111111111) at position 20,560 based on 1010101010 at 16,011.

`1235813941213533488671216141383377554111161014121095222771155331914744914826108641010511118131051210871814105111562229944156331815899551562261184411181385611964996131718141066118487291285229941113117210151013181574488995516127291212159111031013741118135224428931166114499612118121617181410677399111033336141022134114101152299487468610171242712725813181573329933778899551613141012181022136669755124347525511267411181312151110141471188366983997139449961210651118126101415161718141067744551133991243491212151612106367711127710623813115229944336622115551182916119121517111218168412138131815733161162299387115566778899551613141189106246121810367713103333667733169913148223914816851194426741118138769128432610106291011107721010336688223399714125334119449961210647727841118121115826101112131415161718141067744552917101686107339913913148441366691213141064715181044512104512105129714136210138681311522994111513151031012758711168111011221714931113691214161045612181685537867521013813181573316101114991512522993322613108711223344556677889955161314118910711108811714147171061218104121044512128549121215103344551610118669914896331496331563111685549831141114149442674111813522664466134113912131582271492211234388513124224915103355771491173399714131081015141312731141194499612106477112251318106637741118126548744181582345678910111213141516171814106774455291710178221816928855511888167339914533148963331013913103333661367891067711291412151810512171596451315964611942271413109131711425522555131386813115229948748121081012747524121033446131049851311432357711161364436646131066136810121485131028106121816855441891166554439104255210138131815733161011148234764499161291014115229938119121511859961310579111315171011223344556677889955161314118910711108811815104399715111016131010629161697131061218105986451217159664114121044136669127491315171016131482311105533669915633886141510964461415101072101364985544191044882567107471010644411141494426741118131215111293318911391111127653313678107441413171364425755812148227749108791210107441612749149113351213644121091673399714131098591710271211109871210146710731141194499612106477112251210571113108131810773111011552674111812119210103366291314181574415121610224466881123456789101112131415161718141067744552917101782218169299661471218168662211774411168111077715168441673399151417141096338861415121052553314854912121510391113104466881177445121054221510869121518106119611161475566191510810755661117931149101317131098510101481216107111381711118111610885225551313868131152299443366223111264917102412102222391311864491315917118555448849108671212101393351210491411131018151610331117118577391113105131024686334910853319107131061218168554419171314108812983322191715833115101381710425521013813181573316101114823476331512822441894499171410422112610781311522993321011311136912811104455996121185663377124681012141692357911131517101122334455667788995516131411891071110881181510439971511111815127511833997141412843281411852271492217141486671412857131061218106655885519159611161475566331577108645121391310333366131210224414810121416928141189633159643661814151033669916721015722775111210111271010661891712101112722816124251310114488441917136111151293377178224119882229922771816137471010644411141494426741118138769128454223810131088126533124445121044291410813104461410882913101098121612131018141383333114121268633141310552244119966771364228829131214101210224415644126101414967131018138641010178441673399714131098510108844551816931117116543101088613116426611411988146710731141194499612106477112251210571113964663101046859171381318108855146432387171594426741118126531124422491510310922148910141815733291311129610148361014911335571511581216102244668811234567891011121314151617181410677445529171017822181692996614712181686622229966391262911612181685555310127510955291374985131143885551214121385531013128441673399161211101316131061010614157227751112101112964612148181410963341210441366691274433124685512911335571511109552917159646141510791279955661369121518107139311612949141262233112239811161279171088331122399410977366764411258121612851010884972226631112610148815104652101716104411181149148997741011118111610885225551313868131152299411151315103101299645119114418169381186436889633148611105518944148107551816101110441119179337733441199554111166642553338141496455441510746852101815121314849106410161011104433551133124685611108538711555131513844119941114105111181512857131061218168554419171361118161289106997151242288271197411181614744271068127255210171695101381710425521013813181573316101114823476331512822412151010129411141014131410884119449918161310651010755111588861413868131152299381184236864613106613419114351217101155996121065111044223111571151211971151310246810128662613933771246810121416923579111315171011223344556677889955161314118910711108811815104399715111118151275118339971414128444111815129121038811102773399714131010108411391261914107111041011131713644257111613101063355334111310841144310128571310612181077332211447744167111675561294914126223311223111510107335129995519159675331485491212151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 Posted by Charlie on 2005-06-28 19:46:58

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