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

0,1

Links

Table of n, a(n) for n=0..13.

K. S. Brown, Highly Heronian Ellipses

Formula

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

Example

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.)

Crossrefs

Cf. A086909.

Sequence in context: A003209 A155645 A336907 * A118017 A225785 A098206

Adjacent sequences: A095264 A095265 A095266 * A095268 A095269 A095270

Keyword

nonn

Author

Lekraj Beedassy, Jul 02 2004

Extensions

More terms from Ray Chandler, Jul 09 2004

Status

approved