20110618, 18:25  #1 
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Jul 2009
Dumbassville
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question on a few things
most of you probably know of A002812 (a.k.a a(n) = 2a(n1)^2  1, or a(n) = A003010(n)/2 ), and I want to ask a few questions about it:
1) has a(n) ever been expressed as a algebraic equation, especially using the fact that a(1) ( or a(2) depending on how you count it) is M3 and 2) if not, could this ever be used to find a pattern in the Mersenne numbers with prime exponents, that work out to be Mersenne primes. ( I mention this because they intersect and so we have a basis to form a relationship off which to base the relations between the two). Last fiddled with by science_man_88 on 20110618 at 18:29 Reason: added in and then bolded the bad word everyone hates 
20110618, 20:56  #2 
Aug 2006
175B_{16} Posts 

20110618, 21:07  #3 
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Jul 2009
Dumbassville
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20110618, 21:47  #4 
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Jul 2009
Dumbassville
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a(n) = 2a(n1)^2  1 comes about by when x is even, and so but I was more leaning towards in relation to p=3 as a(1)=2^31 =7.
Last fiddled with by science_man_88 on 20110618 at 21:50 
20110618, 22:21  #5  
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Jul 2009
Dumbassville
2^{6}×131 Posts 
Quote:
I went one step further into A002818 than this but I'll currently save you on that part. so I'm trying to relate 2^{p+k}1 to this sequence is their a general formula outside of just doing to relate it back to the known p=3 they rely on ? 

20110618, 23:18  #6 
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Jul 2009
Dumbassville
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anybody confused about what I mean ?
Last fiddled with by science_man_88 on 20110618 at 23:39 
20110619, 00:31  #7 
Nov 2003
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20110619, 00:32  #8  
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Jul 2009
Dumbassville
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Quote:
Quote:
Last fiddled with by science_man_88 on 20110619 at 00:37 

20110619, 00:34  #9 
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Jul 2009
Dumbassville
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20110619, 12:33  #10 
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Jul 2009
Dumbassville
2^{6}·131 Posts 
however I know I'm not confused just having trouble getting my point across, no surprises there.

20110619, 16:31  #11 
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Jul 2009
Dumbassville
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