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Search: id:A088544
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| A088544 |
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Scale factor by which primitive Pythagorean triangle {x=A088509(n),y=A088510(n),z=A088511(n)} needs be enlarged in order to circumscribe the smallest integral square having a side on the hypotenuse. |
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+0
1
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| 37, 229, 409, 793, 1261, 2041, 1789, 4381, 5233, 4069, 8317, 6073, 14449, 7969, 12181, 9997, 11041, 23473, 14089, 24457, 17341, 36181, 20773, 53461, 29341, 44269, 28009, 38509, 76297, 35869, 44257, 74209, 42841, 105769, 50137, 65701, 53209
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Such an inscribed square has side x*y*z=A063011(n).
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REFERENCES
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J. D. E. Konhauser et al., Which Way Did The Bicycle Go?, Problem 21, "The Square on the Hypotenuse", pp. 7; 79-80, Dolciani Math. Exp. No. 18, MAA, 1996.
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FORMULA
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a(n)=x*y + z^2.
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CROSSREFS
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Cf. A088509, A088510, A088511, A063011.
Sequence in context: A052166 A142010 A133958 this_sequence A051463 A142445 A155974
Adjacent sequences: A088541 A088542 A088543 this_sequence A088545 A088546 A088547
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KEYWORD
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nonn
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AUTHOR
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Lekraj Beedassy (blekraj(AT)yahoo.com), Nov 17 2003
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EXTENSIONS
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More terms from Max Alekseyev (maxale(AT)gmail.com), May 30 2009
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