[seqfan] Re: A178307

Vladimir Shevelev shevelev at bgu.ac.il
Tue May 25 12:51:09 CEST 2010


Very thanks,  Jeremy!

Vladimir

----- Original Message -----
From: Jeremy Gardiner <jeremy.gardiner at btinternet.com>
Date: Tuesday, May 25, 2010 11:31
Subject: [seqfan] Re: A178307
To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>

> 
> Yes, I get:
> 
> 3,3,2,3,3,2,3,4,2,3,3,4,2,3,3,2,3,2,4,4,2,3,3,5,2,3,4,2,4,2,2,3,4,2,3,2,3,3,
> 3,2,2,4,4,4,8,2,2,2,3,3,2,4,5,3,2,3,3,4,2,4,2,2,4,3,3,2,2,2,3,2,4,4,2,2,3,4,
> 2,2,4,3,3,4,5,3,5,2,2,2,6,4,4,2,4,2,2,8,2,2,2,2,3,2,3,3,3,3,5,2,2,4,5,3,2,3,
> 2,5,3,5,2,3,4,2,4,2,2,4,3,2,2,2,3,4,3,5,3,2,3,2,2,2,2,4,2,3,3,3,2,7,4,4,6,2,
> 2,2,2,3,2,2,4,2,2,3,2,3,4,3,3,3,3,3,4,2,5,3,2,2,5,2,5,2,3,2,2,4,6,4,2,4,4,2,
> 2,4,2,3,2,5,2,8,2,2,2,3,2,3,2,2,5,3,3,2,5,3,2,3,3,3,2,2,3,3,5,2,2,2,2,4,2,5,
> 2,2,3,3,2,3,3,2,2,3,5,3,2,4,5,3,2,3,3
> 
> Your sequence b(n) is A075930 (Positions of check bits in code 
> in A075928),
> see comment in that sequence.
> 
> I get the following sequence for the corresponding values of b(n)^m:
> 
> 343,1331,169,2744,6859,441,10648,390625,676,21952,29791,1500625,1369,54872,6
> 8921,1764,85184,2209,5764801,6250000,2704,166375,175616,714924299,3721,23832
> 8
> 
> 
> On 24/5/10 16:56, "Vladimir Shevelev" <shevelev at bgu.ac.il> wrote:
> 
> Dear  Jeremy,
> 
> I ask you also to extend a "dual" sequence:
> 
> %I A178307
> %S A178307 3,3,2,3,3,2,3,4,2,3
> %N A178307 Remove from A000069 powers of 2. Let b(n) be n-th 
> term of the
> remain sequence. Then a(n) is the least number m such that 
> (b(n))^m is in
> A001969
> %F A178307 If k=b(n)=2^m*b(s), where b(s) is odd, then a(n)=a(s).
> %Y A178307 A000069 A001969 A178253
> %K A178307 nonn
> %O A178307 1,1
> 
> Regards,
> Vladimir
> 
> 
> 
> 
> _______________________________________________
> 
> Seqfan Mailing list - http://list.seqfan.eu/
> 

 Shevelev Vladimir‎



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