sequences that are permutations

Wed Oct 24 19:14:57 CEST 2001

CORRECTION:  Due to a blunder, nine of the sequences listed in my memo of 
yesterday contained repeated terms.  I have marked them with an asterisk (*) in
the list (below).  I apologize for any inconvenience.

John

John Layman writes:
> 
> I have checked the July 2000 version of the EIS (the latest that I have
> downloaded) and found the following list of 251 sequences that satisfy the two
> conditions: (1) no term occurs twice, and (2) at least the first twenty natural
> numbers 1-20 occur. These sequences are thus candidates for the permutation
> sequences sought by njas.  Some of these can be easily confirmed and some easily
> disproved but, anyway, here they are.
> 
> Some of the sequences in the preliminary list (above) do not appear because
> fewer than twenty terms were found.
> 
> The numbers in brackets give the range of consecutive integers found, starting
> with 0 or 1.
> 
> John Layman
> 
> 
> A004491[0-56]     A004483[0-68]     A049084[1-24](*)     
> A027656[1-35](*)  A004490[0-56]     A004482[0-59]     
> A035043[0-68]     A048212[1-20](*)  A055176[1-45]     
> A014681[1-68]     A026262[1-51]     A026234[1-25]     
> A054082[1-51]     A026255[1-47]     A026190[1-31]     
> A026204[1-40]     A054084[1-50]     A026205[1-32]     
> A026214[1-33]     A026221[1-33]     A026243[1-39]     
> A002251[0-41]     A026191[1-41]     A050137[1-31]     
> A047708[0-54]     A026215[1-42]     A026220[1-42]     
> A048850[0-53]     A004488[0-29]     A026252[1-24]     
> A004443[0-55]     A006015[0-63]     A054425[1-33](*)     
> A030542[1-28]     A000027[1-77]     A001477[0-77]     
> A033619[0-87]     A055643[0-59]     A044923[1-48]     
> A002837[0-40]     A044922[1-35]     A032513[0-31]     
> A048266[1-31]     A004441[1-29]     A004438[1-29]     
> A032521[0-25]     A044921[1-24]     A050608[1-24]     
> A046510[0-24]     A048242[1-23]     A004830[0-22]     
> A038770[1-22]     A032517[0-22]     A032520[0-20]     
> A034837[1-20]     A051108[0-20]     A051107[0-20]     
> A003100[0-49]     A026267[1-52]     A055170[0-48]     
> A005941[1-22]     A026266[1-51]     A056018[0-55]     
> A056017[0-65]     A032447[1-40]     A054582[1-20]     
> A026264[1-51]     A048201[1-24](*)  A026265[1-51]     
> A014321[1-36]     A055265[1-72]     A054426[1-20]     
> A054424[1-35]     A048673[1-36]     A054077[1-56]     
> A026194[1-33]     A026260[1-45]     A054076[1-56]     
> A036552[1-51]     A026259[1-48]     A026195[1-43]     
> A004515[0-24]     A056019[0-31]     A034701[1-52]     
> A054239[0-43]     A048680[0-33]     A035513[1-29]     
> A026167[1-32]     A054238[0-52]     A048679[0-30]     
> A054427[1-36]     A026166[1-42]     A026257[1-45]     
> A026182[1-32]     A026198[1-32]     A026206[1-32]     
> A038776[1-42]     A026202[1-32]     A004517[0-48]     
> A026200[1-32]     A026218[1-32]     A004519[0-27]     
> A036130[1-30]     A036129[1-29]     A026258[1-47]     
> A026183[1-41]     A026199[1-41]     A026207[1-41]     
> A050171[1-25](*)  A026201[1-41]     A026219[1-41]     
> A050138[1-23]     A026203[1-42]     A050125[1-20]     
> A052194[1-20]     A051242[1-28]     A036164[0-21]     
> A055179[1-45]     A004468[0-63]     A004444[0-55]     
> A048647[1-63]     A035044[0-68]     A054086[1-57]     
> A054068[1-57]     A054069[1-56]     A004442[0-67]     
> A054430[1-71]     A026098[1-23]     A006369[0-39]     
> A054089[1-51]     A006368[1-40]     A038722[1-47](*)     
> A003188[0-31]     A006042[1-31]     A026137[1-34]     
> A026173[1-34]     A026187[1-34]     A026211[1-34]     
> A019444[1-32]     A006068[0-35]     A054429[1-63]     
> A026136[1-41]     A026172[1-41]     A026186[1-41]     
> A026210[1-41]     A055456[1-71]     A026245[1-38]     
> A026178[1-31]     A026197[1-31]     A026217[1-31]     
> A004484[0-60]     A004492[0-53]     A055173[1-42]     
> A026248[1-38]     A026253[1-24]     A026184[1-31]     
> A026208[1-31]     A026193[1-33]     A026143[1-35]     
> A026188[1-41]     A026212[1-41]     A055266[1-72]     
> A026250[1-24]     A034175[0-31]     A050129[1-32]     
> A055182[1-46]     A026246[1-40]     A026177[1-41]     
> A026196[1-41]     A026216[1-41]     A026189[1-33]     
> A026213[1-33]     A026185[1-41]     A026209[1-41]     
> A026192[1-40]     A026142[1-44]     A050128[1-30]     
> A055115[0-24]     A020703[1-64]     A004485[0-57]     
> A004493[0-53]     A004445[0-55]     A026239[1-26]     
> A055185[1-51]     A026247[1-39]     A050001[1-29](*)     
> A036165[0-27]     A004486[0-60]     A004494[0-53]     
> A055116[0-35]     A004446[0-55]     A036173[0-29]     
> A050132[1-23]     A055117[0-48]     A004447[0-55]     
> A004495[0-54]     A004487[0-57]     A004448[0-55]     
> A055118[0-63]     A004496[0-53]     A004497[0-53]     
> A004449[0-49]     A004450[0-49]     A004498[0-53]     
> A050133[1-20]     A004451[0-47]     A004499[0-53]     
> A004500[0-53]     A004452[0-47]     A004453[0-47]     
> A004501[0-53]     A004454[0-47]     A004502[0-53]     
> A004503[0-53]     A004455[0-47]     A004456[0-47]     
> A004504[0-53]     A004505[0-53]     A004457[0-41]     
> A036171[0-51]     A004506[0-53]     A004458[0-41]     
> A002252[1-26]     A008575[1-20]     A004459[0-39]     
> A004507[0-53]     A036170[0-45]     A004460[0-39]     
> A004508[0-53]     A004509[0-53]     A004461[0-39]     
> A004462[0-39]     A004510[0-53]     A004463[0-39]     
> A004511[0-53]     A004512[0-53]     A004464[0-39]     
> A036166[0-29]     A004513[0-53]     A004465[0-33]     
> A036167[0-35]     A036168[0-39]     A036169[0-41]     
> A036172[0-57]     A038459[1-25](*)  A056561[0-39]     
> A056534[1-39]     A056535[1-34]     A056539[0-63]     
> A056537[1-42]     A056536[1-43]     
> 