[seqfan] Re: A178253 - PS

Vladimir Shevelev shevelev at bgu.ac.il
Mon May 24 17:12:31 CEST 2010


First of all, thank you for this sequence! 
 
Your observation follows from the Franclin's observation for A001969 which was proved by Max (see their comment).
 
Vladimir


----- Original Message -----
From: Jeremy Gardiner <jeremy.gardiner at btinternet.com>
Date: Monday, May 24, 2010 16:28
Subject: [seqfan] Re: A178253 - PS
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>

> 
> PS
> 
> I get the following sequence for the corresponding values of 
> A001969(n)^m:
> 81,25,1296,81,100,20736,50625,289,324,400,529,331776,14348907,841,810000,108
> 9,1156,1296,1521,1600,1849,91125,2116,5308416,2601,7890481,459165024,6016920
> 57,3364,12960000,15752961,4225,4356,4624,5041,5184,5625,5929,6084,6400,47458
> 321,7225,7396,7921,729000,8464,9025,84934656,970299,10201,10404,12762815625,
> 126247696,14693280768,1367631,12769,19254145824,13456,1685159,207360000,1860
> 867,15625,252047376,16641,16900,17424,18225,18496,19321,395254161,20164,2073
> 6,21609,22201,22500,23409,23716,24336,639128961,25600,26569,4492125,75933313
> 6,28561,28900,29584,30625,981506241,31684,5832000,6128487,33856,6539203,3572
> 1,36100,1358954496,7414875,38809,7762392,40401,40804,41616,8869743,43681,408
> 410100000,2019963136,46225,470184984576,503756397099,10793861,10941048,50625
> ,51076,616132666368,53361,53824,55225,3154956561,13481272,3317760000,59049,8
> 82735153125,14886936,15438249,62500,4032758016,4228250625
> 
> The parity of this sequence matches A010060 (Thue-Morse sequence)
> 
> Jeremy
> 
> On 24/5/10 11:44, "Vladimir Shevelev" <shevelev at bgu.ac.il> wrote:
> 
> > Dear seqfans,
> 
> I have just submitted the following sequence:
> 
> %I A178253
> %S
> > A178253 4,2,4,2,2,4,4,2,2,2,2,4
> %N A178253 a(n) is the least number m such
> > that (A001969(n))^m is in A000069 
> %F A178253 If k=A001969(n)=2^m*A001969(s),
> > where A001969(s) is odd, then a(n)=a(s). 
> %Y A178253 A000069 A001969 
> %K
> > A178253 nonn
> %O A178253 1,1
> %A A178253 Vladimir Shevelev
> > (shevelev(AT)bgu.ac.il), May 24 2010
> 
> Can anyone to extend it?
> 
> Best
> > regards,
> Vladimir
> 
>  Shevelev
> > Vladimir?
> 
> _______________________________________________
> 
> Seqfan Mailing
> > list - http://list.seqfan.eu/
> 
> 
> 
> 
> 
> _______________________________________________
> 
> Seqfan Mailing list - http://list.seqfan.eu/
> 

 Shevelev Vladimir‎



More information about the SeqFan mailing list