To calculate a Pythagorean triple select any term of this progression and reduce it to an improper fraction.
2.
As before, to produce a triple from this sequence, select any term and reduce it to an improper fraction.
3.
In particular, chapter II . 7 contains a list of methods for converting an improper fraction to an Egyptian fraction, including the greedy algorithm for Egyptian fractions, also known as the Fibonacci Sylvester expansion.
4.
:If what you care about is the " magnitude ", and you require more precision than offered by rounding to a whole number, then a mixed number is probably more reasonable than an improper fraction.
5.
The " molad " interval as an exact improper fraction = 29 + 12 / 24 + 44 / 1440 + ( 10 / 3 ) / 86400 = 765433 / 25920 days, where the denominator 25920 is the number of parts per day ( each part equals 1 / 18 minute or 10 / 3 seconds ) and one can alternatively write the numerator in the interesting descending sequence 765432 + 1.
Meaning
a fraction whose numerator is larger than the denominator
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