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A097282
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Numbers n that are the hypotenuse of exactly 40 distinct integer sided right triangles, i.e. n^2 can be written as a sum of two squares in 40 ways.
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0
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32045, 40885, 45305, 58565, 64090, 67405, 69745, 77285, 80665, 81770, 90610, 91205, 96135, 98345, 98605, 99905, 101065, 107185, 111605, 114985, 117130, 120445, 122655, 124865, 127465, 128180, 128945, 130645, 134810, 135915, 137605
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| n^2 is always the sum of n^2 and 0^2, but no real triangle can have a zero-length side. Thus,the Mathematica program, below, searches for length 41 and implicitly drops the zero-squared-plus-n-squared solution.
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MATHEMATICA
| Select[Range[150000], Length[PowersRepresentations[#^2, 2, 2]]==41&]
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CROSSREFS
| Cf. A084645, A084646, A084647, A084648, A084649, A097101, A097102, A097103.
Sequence in context: A197114 A054038 A156977 * A146896 A205930 A137837
Adjacent sequences: A097279 A097280 A097281 * A097283 A097284 A097285
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KEYWORD
| nonn
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AUTHOR
| James Buddenhagen (jbuddenh(AT)gmail.com), Sep 17 2004
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EXTENSIONS
| Comment provided and Mathematica program provided by Harvey P. Dale, Dec 09, 2010.
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