[seqfan] Re: A178253 - PS

[Jeremy Gardiner]

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?

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