2, 1, 3, 4, 7, 11, 18, 29, 47, 76, ..........exactly or approximately.
Please click on images to enlarge,
to see them more clearly.
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Here is the Equation:-
21           Luc(n-7)           Fib(n+1)   -  
Fib(n-15)
__     x    
______     =    __________________
13           Luc(n-7)           Fib(n)       +  
Fib(n-14)
Equation
for Algorithm 13 to 21 in Fibonacci Series
as
related to Lucas Series
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There is a lot of work, calculating it all, in the series.
How might one interpret it?
I'd like to leave it for another day. Enough work inputting this data!
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28/9/2014
Here is something interesting in the realm of equations:-
The Bragg Equation
n lambda = 2dSinTheta
re X ray scattering from a crystal lattice.
2014 is the UNESCO designated
Year of Crystallography.
http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/bragg.html
also   Off Track   ABC Radio National  on Crystals in the City  
Dr Bragg and his son won the Nobel Prize for their Equation.
 www.abc.net.au/rn/offtrack
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