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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