SEQ for what: IGNORE

zak seidov zakseidov at yahoo.com
Fri Jan 6 18:48:43 CET 2006


Please ignore this:
i erroneously clicked "send" iof "save as a draft"
thanks, zak

--- zak seidov <zakseidov at yahoo.com> wrote:

> "...sit down and try to make up new sequences"
> (Neil)
> 
> I suggest sequence loosely related to 
> 
> A006307 Number of ways writing 2^n as unordered sums
> of 2 primes.
> 
> 2^n as a sum of two closest primes:
> 
> 2^2=4=2+2
> 2^3=8=3+5
> 2^4=16=5+11
> 2^5=32=13+19
> 2^6=64=23+41
> 2^7=128=61+67
> 2^8=256=107+149, etc
> 
> this gives one SEQ 
> 2,3,5,13,23,61,107 (A1, not in OEIS:
> a smaller prime in pair of closest primes sum of
> which
> is 2^n;
> offset = 2)
> 
> for large values of n 
> entries are extremely large, e,g., a(201)=
>
803469022129495137770981046170581301261101496891396417647343,
> that is 
> 2^201=
>
1606938044258990275541962092341162602522202993782792835297281+
>
1606938044258990275541962092341162602522202993782792835305471
> 
> 2^201=(2^200-4095)+(2^200+4095)
> 
> and it's better to present them in the form 
> 
> or in general case
> 
> 2^n = (2^(n-1)-a)+(2^(n-1)+a)
> 
> 
>  
> 
> 
> 
> 
> 
> 
> 		
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> 
> 



		
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