[seqfan] pythagorean triangles whit same area

Claudio Meller claudiomeller at gmail.com
Wed Dec 8 20:21:48 CET 2010


Hi seqfans,
A friend of me, Antonio Roldan Matinez, send me, the next sequence inspired
in a problem of Lewis Caroll which is in his biography

Numbers which are the area of exactly three different right triangles that
have sides also integers
840. 3360, 7560, 10920, 13440, 21000, 30240, 31920, 41160, 43680

For example

840 is the area of : 15,12,113 and 24,70,74 and 40,42,58
3360 is the arra of : 30,224,226 and 48,140,148 and 80,84,116

Is there any missing intermediate term ?
Any corrections? Is good the name of the sequence?
Thanks,

-- 
Claudio



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