login
Least perimeter common to 2^n primitive arithmetic triangles, i.e., Heronian triangles whose sides are in arithmetic progression.
2

%I #10 Jul 27 2017 03:41:02

%S 12,84,1092,20748,643188,23797956,1023312108,62422038588,

%T 4182276585396,305306190733908,24119189067978732,2339561339593937004,

%U 240974817978175511412,26266255159621130743908

%N Least perimeter common to 2^n primitive arithmetic triangles, i.e., Heronian triangles whose sides are in arithmetic progression.

%H K. S. Brown, <a href="http://www.mathpages.com/home/kmath474.htm">Highly Heronian Ellipses</a>

%F a(n) = 3*A095288(n) = a(n-1)*A002476(n). - _Ray Chandler_, Jul 09 2004

%e 1092 is the perimeter common to the 2^2=4 arithmetic triangles (183,364,545), (185,364,543), (257,364,471), (303,364,425) having common differences 181, 179, 107, 61 and areas 6006, 10376, 46410, 54054, respectively. (Middle side is the same in all triangles.)

%Y Cf. A086909.

%K nonn

%O 0,1

%A _Lekraj Beedassy_, Jul 02 2004

%E More terms from _Ray Chandler_, Jul 09 2004