A065577 Number of Goldbach partitions of 10^n? More terms?

[zak seidov]

Dear seqfans,
Bob, Ivars,

In A065577, 
a(1)=2 because 10=3+7=5+5?
Also a(2)=6 because
100=3+97=11+89=17+83=29+71=41+59=47+53?

The point is that in Ivars Peterson's
"Goldbach's Prime Pairs"
http://www.maa.org/mathland/mathtrek_8_21_00.html
we read:

" 
Note that Goldbach partitions take into account the
order of the primes that are summed. For example, 10
has two Goldbach partitions: 3 + 7 and 7 + 3.

Integer No. of Goldbach partitions 
10 2 
100 6 
1,000 28 
10,000 127 
100,000 810 
1,000,000 5,402 
10,000,000 38,807 
100,000,000 291,400
" 

Me: But in A065577 a(1)=2 and a(2)=6 
(and also other terms as I checked them)
without taking into account 
the order of the primes 
that are summed(?!)

Can anyoone (Bob? Ivars?) clarify this?
Thanks, Zak

BTW Two next terms are calculated by me
(for n=9, 10) as 2274205, 18200487.
Can anyone check these?
Thanks, Zak


%I A065577
%S A065577 2,6,28,127,810,5402,38807,291400
%N A065577 Number of Goldbach partitions of 10^n.
%H A065577 Ivars Peterson's MathTrek, <a
href="http://www.maa.org/mathland/mathtrek_8_21_00.html">Goldbach's
Prime Pairs</a>
%H A065577 Science News Online, week of Aug. 19, 2000;
Vol. 158, No. 8 <a href="http://www.sciencenews.org/
20000819/mathtrek.asp">Goldbach's Prime Pairs</a>
<skip>
%A A065577 Robert G. Wilson v (rgwv(AT)rgwv.com), Dec
01 2001




 
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