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A192632 Denominators of the Diophantus-Dujella rational Diophantine quintuple: 1 + the product of any two distinct terms is a square. 4

%I #12 Sep 07 2013 14:30:56

%S 16,16,4,16,10201

%N Denominators of the Diophantus-Dujella rational Diophantine quintuple: 1 + the product of any two distinct terms is a square.

%C Numerators are A192631. Diophantus found the rational Diophantine quadruple 1/16, 33/16, 17/4, 105/16. Dujella added a fifth rational number 549120/10201.

%C See A030063 and A192631 for additional comments, references, and links.

%H A. Dujella, <a href="http://web.math.hr/~duje/ratio.html">Rational Diophantine m-tuples</a>

%e 1/16, 33/16, 17/4, 105/16, 549120/10201.

%e 1 + (1/16)*(33/16) = (17/16)^2.

%e 1 + (33/16)*(549120/10201) = (1069/101)^2.

%Y Cf. A030063, A192629, A192630, A192631.

%K nonn,fini,frac

%O 1,1

%A _Jonathan Sondow_, Jul 07 2011

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