

A233384


Positive integer solutions x <= y <= z to the equation xyz = x+y+z+2.


0




OFFSET

1,2


COMMENTS

For applications of the equation to Euler's theorem on cevians of a triangle, see Atzema and H. White (2005) and OllerMarcén (2013).


LINKS

Table of n, a(n) for n=1..9.
A. M. OllerMarcén, Rational Ratios and Concurrent Cevians, Math. Mag., 86 (2013), 265269.
E. Atzema and H. White, Euler on cevians, in "From Calculus to Computers: Using the Last 200 Years of Mathematics History in the Classroom", A. ShellGellasch and D. Jardine, eds., Cambridge University Press, 2005.


EXAMPLE

1*2*5 = 10 = 1+2+5+2, 1*3*3 = 9 = 1+3+3+2, 2*2*2 = 8 = 2+2+2+2.


CROSSREFS

Sequence in context: A091953 A228824 A011456 * A186692 A296847 A100084
Adjacent sequences: A233381 A233382 A233383 * A233385 A233386 A233387


KEYWORD

nonn,fini,full


AUTHOR

Jonathan Sondow, Dec 08 2013


STATUS

approved



