Ordering the Primitive Pythagorean Triples by Generalized Pellian Sequences

Keith Raskin
 
Issue CCXXXII - January 18, 2010
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Abstract: While it is well-known that the Pell numbers: 0, 1, 2, 5, 12, 29, 70, . . .  generate the Pythagorean triples with consecutive legs, it seems to be a great secret that the rest of the primitive triples can be generated, ordered, and largely sorted by leg difference using similar sequences.

In this paper, Keith Raskin shows how the Pell numbers can generate the primitive Pythagorean triples. Read and download Mr. Raskin's paper here


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