Ordering the Primitive Pythagorean Triples by Generalized Pellian Sequences
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
In this paper, Keith Raskin shows how the Pell numbers can generate the primitive Pythagorean triples. Read and download Mr. Raskin's paper here.
Keith Raskin holds BA and MA degrees in Pure Mathematics from UC Berkeley.
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