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

16, 16, 4, 16, 10201

Offset

1,1

Comments

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.

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

Links

Table of n, a(n) for n=1..5.

A. Dujella, Rational Diophantine m-tuples

Example

1/16, 33/16, 17/4, 105/16, 549120/10201.
1 + (1/16)*(33/16) = (17/16)^2.
1 + (33/16)*(549120/10201) = (1069/101)^2.

Crossrefs

Cf. A030063, A192629, A192630, A192631.

Sequence in context: A070576 A173778 A103908 * A305945 A010855 A226757

Adjacent sequences: A192629 A192630 A192631 * A192633 A192634 A192635

Keyword

nonn,fini,frac

Author

Jonathan Sondow, Jul 07 2011

Status

approved