A095267 Least perimeter common to 2^n primitive arithmetic triangles, i.e., Heronian triangles whose sides are in arithmetic progression.

12, 84, 1092, 20748, 643188, 23797956, 1023312108, 62422038588, 4182276585396, 305306190733908, 24119189067978732, 2339561339593937004, 240974817978175511412, 26266255159621130743908

Offset: 0

Author

Lekraj Beedassy, Jul 02 2004

Keywords

• nonn

Examples

			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.)
		

Links

• K. S. Brown, Highly Heronian Ellipses

Crossrefs

Cf. A086909.

Formula

a(n) = 3*A095288(n) = a(n-1)*A002476(n). - Ray Chandler, Jul 09 2004

Extensions

More terms from Ray Chandler, Jul 09 2004