[seqfan] Foxy sequences

Jeremy Gardiner jeremy.gardiner at btinternet.com
Wed Aug 18 12:46:16 CEST 2010


Thinking about novel ways to spot patterns in sequences, I tried mapping
a(n) mod 27 (ignoring zero) 1->a, 2->b, ..., 26->z and searching for
interesting substrings.

Of course it's easy to find some of the 'word' sequences:

A104056 onefiveonefovrfivezerosixninetwotwofivezero
A130677 onetwofoureightsixteen
A104057 twozerotwothreeonefivezerotwosixfiveoneefghtonefivezero
A073029 
zeroonetwothreefourfivesixseveneightnineteneleventwelvethirteenfourteenfifte
ensixte

Perhaps more interestingly, for example foxfoxfox = 6, 15, 24, 6, 15, 24, 6,
15, 24 finds the following sequences: (the uppercase U's are due to my
program not handling numbers bigger that 10^12 properly...)

  A108720   aabdlxoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxf
  A030108   
abcdefghajsajsajsbktbktbktcluclucludmvdmvdmvenwenwenwfoxfoxfoxgpygpygpyhqzhq
  A006463   abdfhknqtxaeimrwafkpvagmsydkryelszfnvckshpxfoxfoxfoxfpzi
  A069800   abkclucdmvddmvdenwenenwwenenwenfoxfoxfoxfxfooxffoxxfofo
  A165405   accocfoxfoxfoxfoxfoxfoUUUUU
  A179805   acfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfox
  A122558   acooxfoxfoxfoxfUUUUUUUU
  A102901   affoxfoxfoxfoxfoxfoxUUUUUU
  A055272   afoxfoxfoxfoUUUUUUUU
  A122709   afoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfox
  A028433   cfjmpsvyfoxfoxfoxfoxfoxfoxjjjjjjjjjjjjjjjjjjjjjjjj
  A001618   cgkpvfmszfmthowdltairzgpyfoxfoxfoxfp
  A061388   esajsajsajxfoxffoxfoxoxfoxfoxfoxfoxffoxfoxfoxoxfoxfoxf
  A043033   fffoxfoxfoxfoxfoxfoxfffffffffooooooo
  A114615   foxfoxfoxffoxfoxfoxffoxfoxfofxofxffcofl
  A017233   foxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfox
  A055040   foxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxf
  A133472   foxfoxfoxfUUUUUUUU
  A044489   foxfoxoxfoxfoxfoxfoxfoxfoxfoxfoxfoxoxfoxfox
  A112787   jkoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfoxfox

Maybe this is a dumb way of looking for connections between sequences, or
maybe it's useful; any views from members of the list?

Your reaction might be A114283 abafbarfbarfbarfbarfbarfbarfbarfbarfba..!?

Jeremy






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