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A095288 Least middle side of 2^n primitive arithmetic triangles, i.e. primitive Heronian triangles whose sides are in arithmetic progression. 1
4, 28, 364, 6916, 214396, 7932652, 341104036, 20807346196, 1394092195132, 101768730244636, 8039729689326244, 779853779864645668, 80324939326058503804, 8755418386540376914636, 1111938135090627868158772 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..14.

FORMULA

a(n) = A095267(n)/3 = a(n-1) * A002476(n). - Ray Chandler, Jul 09 2004

EXAMPLE

6916 is the first middle side belonging to 2^3=8 arithmetic triangles,viz,(3485,6916,10347),(3747,6916,10085),(4133,6916,9699),(4299,6916,9533),(4827,6916,9005),5045,6916,8787),(5333,6916,8499),(6267,6916,7565) of common differences 3431,3169,2783,2617,2089,1871,1583,649 respectively and integral areas.(Perimeter is obviously three times middle side and hence the same for all the triangles)

CROSSREFS

Cf. A086909.

Sequence in context: A193198 A165193 A217903 * A155105 A132685 A180966

Adjacent sequences:  A095285 A095286 A095287 * A095289 A095290 A095291

KEYWORD

nonn

AUTHOR

Lekraj Beedassy, Jul 02 2004

EXTENSIONS

More terms from Ray Chandler, Jul 09 2004

STATUS

approved

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Last modified October 31 00:00 EDT 2014. Contains 248844 sequences.