A366547 Triples of positive integers (a,b,c) with a<=b<=c such that a/(b+c) + b/(c+a) + c/(a+b) = 4.

4373612677928697257861252602371390152816537558161613618621437993378423467772036, 36875131794129999827197811565225474825492979968971970996283137471637224634055579, 154476802108746166441951315019919837485664325669565431700026634898253202035277999

Offset

1,1

Comments

Solution of a meme/puzzle that has been circulating on the web. The first 3 terms form the smallest solution.

Links

Table of n, a(n) for n=1..3.

Andrew Bremner and Allan Macleod, An unusual cubic representation problem, Annales Mathematicae et Informaticae, 43(2014), pp.29-41.

Quora, How do you find the positive integer solutions to x/(y+z)+y/(z+x)+z/(x+y)=4?

Crossrefs

Cf. A283564, A309170, A309168, A309177, A309178.

Sequence in context: A141756 A155538 A095550 * A095552 A095554 A095556

Adjacent sequences: A366544 A366545 A366546 * A366548 A366549 A366550

Keyword

nonn

Author

Chai Wah Wu, Oct 12 2023

Status

approved