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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

%I #12 Jul 27 2017 03:41:06

%S 4,28,364,6916,214396,7932652,341104036,20807346196,1394092195132,

%T 101768730244636,8039729689326244,779853779864645668,

%U 80324939326058503804,8755418386540376914636,1111938135090627868158772

%N Least middle side of 2^n primitive arithmetic triangles, i.e., primitive Heronian triangles whose sides are in arithmetic progression.

%F a(n) = A095267(n)/3 = a(n-1) * A002476(n). - _Ray Chandler_, Jul 09 2004

%e 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.)

%Y Cf. A086909.

%K nonn

%O 0,1

%A _Lekraj Beedassy_, Jul 02 2004

%E More terms from _Ray Chandler_, Jul 09 2004

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Last modified March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)