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 = 2X

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 = 2X = 21 = 2 persons-the number of parents.

Going back 2 generations, X = 2 and we have:

NPR = 2X = 22 = 2 x 2 = 4 persons-the number of grandparents.

Going back 5 generations, X = 5 and:

NPR = 2X = 25 = 2 x 2 x 2 x 2 x 2 = 32 persons-the 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 = 2X = 20 = 1 person: YOU.

The table below summarizes the results going back seven generations.

Number of
Generations (X)
01234 567
Number of Parental
Relations (2X)
124816 32 64128
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