1,2

If (a, b, c, d) satisfies Markoff(4) equation, then so does (a, b, c, 4abc - d) and 4abc - d = (a^2 + b^2 + c^2)/d.

Some solutions to Markoff(4) equation a^2 + b^2 + c^2 + d^2 = 4abcd are (1,1,1,1), (1,1,1,3), (1,1,3,11), (1,3,11,131), (3,11,131,17291), (1,1,11,41), (1,11,41,1803), (1,1,41,153), (1,3,131,1561), (1,11,131,5761), (1,1,153,571), (1,1,571,2131), (1,1,2131,7953), (1,3,1561,18601).

Cf. A002559.

Sequence in context: A119375 A131526 A073622 this_sequence A086972 A077831 A032952

Adjacent sequences: A075273 A075274 A075275 this_sequence A075277 A075278 A075279

easy,nonn

Paul D. Hanna (pauldhanna(AT)juno.com), Sep 12 2002