A Simple Way to Count Parental Lineage
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By using a simple arithmetic formula, you can count the Number of
Parental
Relations (NPR), for a given generation, going back any number of
generations.
The formula is:
NPR = 2^{X}
where NPR is the number of parental relations and X
= the number of generations back from yours.
For example, going back one generation, X = 1 and we
have:
NPR = 2^{X} = 2^{1} = 2
personsthe
number of parents.
Going back 2 generations, X = 2 and we have:
NPR = 2^{X} = 2^{2} = 2 x 2 = 4
personsthe
number of grandparents.
Going back 5 generations, X = 5 and:
NPR = 2^{X} = 2^{5} = 2 x 2 x 2 x 2
x 2 = 32
personsthe number of great great great grand parents.
NOTE: The number of "great"s is always the number of generations,
X, minus two (your parents' generation and your
grandparents'
generation). In the last example it's X  2 = 5  2 = 3
"great"s
for "great great great grandparents".
Note also that if you go back 0 generations:
NPR = 2^{X} = 2^{0} = 1 person:
YOU.
The table below summarizes the results going back seven
generations.
Number of
Generations (X)  0  1  2  3  4 
5  6  7 
Number of Parental Relations
(2^{X}) 
1  2  4  8  16 
32 
64  128 
YOU 







Parents 






Number of Grand
Parents 





Number of Great Grand Parents 




Number of Great Great Grand
Parents 



Number of Great Great Great Grandparents 


Number of Great Great Great Great
Grandparents 

Number of Great Great Great Great Great
Grandparents 
