[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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