cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A334808 Consider all the Pythagorean triangles with perimeter A010814(n). Then a(n) is the sum of the areas of the squares on all of their sides.

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%I A334808 #10 Jun 19 2022 23:23:41
%S A334808 50,200,338,450,578,800,1250,2602,1682,1800,2312,5188,6404,3200,4050,
%T A334808 5000,15610,5618,13492,6728,15650,8450,8450,8450,9248,32002,10658,
%U A334808 36866,14450,12800,14450,14450,14450,15842,31700,16200,20402,20000,18050,18818,87978,69164
%N A334808 Consider all the Pythagorean triangles with perimeter A010814(n). Then a(n) is the sum of the areas of the squares on all of their sides.
%H A334808 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>
%H A334808 Wikipedia, <a href="http://en.wikipedia.org/wiki/Pythagorean_triple">Pythagorean Triple</a>.
%H A334808 <a href="/index/Ps#PyTrip">Index entries related to Pythagorean Triples</a>.
%F A334808 a(n) = 2 * Sum_{k=1..floor(c(n)/3)} Sum_{i=k..floor((c(n)-k)/2)} sign(floor((i+k)/(c(n)-i-k+1))) * [i^2 + k^2 = (c(n)-i-k)^2] * (c(n)-i-k)^2, where c = A010814. - _Wesley Ivan Hurt_, May 13 2020
%e A334808 a(1) = 50; there is one Pythagorean triangle with perimeter A010814(1) = 12, [3,4,5]. The sum of the areas of the squares on its sides is 3^2 + 4^2 + 5^2 = 9 + 16 + 25 = 50.
%e A334808 a(2) = 200; there is one Pythagorean triangle with perimeter A010814(2) = 24, [6,8,10]. The sum of the areas of the squares on its sides is 6^2 + 8^2 + 10^2 = 36 + 64 + 100 = 200.
%Y A334808 Cf. A010814.
%K A334808 nonn
%O A334808 1,1
%A A334808 _Wesley Ivan Hurt_, May 12 2020