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A057096 Saint-Exupery numbers: ordered products of the three sides of Pythagorean triangles. +0
8
60, 480, 780, 1620, 2040, 3840, 4200, 6240, 7500, 12180, 12960, 14760, 15540, 16320, 20580, 21060, 30720, 33600, 40260, 43740, 49920, 55080, 60000, 65520, 66780, 79860, 92820, 97440, 97500, 103680, 113400, 118080, 120120, 124320 (list; graph; listen)
OFFSET

1,1

COMMENT

It is an open question whether any two distinct Pythagorean Triples can have the same product of their sides.

REFERENCES

R. K. Guy, "Triangles with Integer Sides, Medians, and Area." D21 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 188-190, 1994.

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

N. des Vallieres and F. D'Agay, SCOMASE, Le Probleme du Pharaon

FORMULA

a(n) =60*A057097(n) =A057098(n)*A057099(n)*A057100(n)

EXAMPLE

a(1)=3*4*5=60

CROSSREFS

Cf. A009004, A009012, A009111, A020886.

Sequence in context: A020868 A088943 A097387 this_sequence A069140 A101384 A081384

Adjacent sequences: A057093 A057094 A057095 this_sequence A057097 A057098 A057099

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Aug 01 2000

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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