[seqfan] Re: A061712
T. D. Noe
noe at sspectra.com
Thu May 13 17:06:40 CEST 2010
At 1:14 PM +0000 5/13/10, Vladimir Shevelev wrote:
>I used the Noe's table of A061712 in order to get the following sequence:
>%S A177768 7,15,23,31,39,63,79,95,127,175,207,255
>%N A177768 Points of violation of monotonicity of A061712
>%C A177768 Questions: 1)If the sequence is infinite? 2) All terms up to
>a(12) have the form 8k-1. What is the reason of this phenomenon?
>%Y A177768 A061712
>%K A177768 nonn
>%O A177768 1,1
>%A A177768 Vladimir Shevelev (shevelev(AT)bgu.ac.il), May 13 2010
>I think that questions in %C could be interested for you.
The sequence continues:
They are all of the form 8k-1. Note that 2^k-1 appears for all 3<=k<=10
because primes having Hamming weight 2^k-2 (with k>2) require at least 3
zeros in their binary representation.
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