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.
%I A289155 #32 Aug 06 2017 14:35:29 %S A289155 24,84,192,336,540,756,1134,1344,1710,2100,2640,3000,4056,4116,4680, %T A289155 5376,6936,6804,8664,8400,9240,10164,12696,12000,13500,14196,15390, %U A289155 16296,20184,18720,23064,21504,23232,24276,26040,27000,32856,30324 %N A289155 Smallest area of triangle with integer sides and area = n times perimeter. %H A289155 Ray Chandler, <a href="/A289155/b289155.txt">Table of n, a(n) for n = 1..5000</a> (first 300 terms from Zhining Yang) %F A289155 a(n) = A120572(2n). - _Ray Chandler_, Jul 27 2017 %e A289155 For n = 4, a(4)=336 means for the smallest triangle (a,b,c) = (26,28,30), the area is 336, which is 4 times the perimeter 84. %o A289155 (PARI) for(k=1, 50, n=0;A=10^9; d=4*k^2; e=3*d; for(b=1, sqrt(e), for (c=2*k, e/b, if(b*c>d&&c>=b, f = (b + c)*d / (b * c - d); if(f>=c, a=floor(f); if(a==f, n++; s=2*(a+b+c)*k;if(s<A,A=s)))))); print1(A, ", ")) %Y A289155 Cf. A007237, A120572, A188158, A228383. %Y A289155 a(n) is the leading entry in row n of the triangle in A290451. %K A289155 nonn %O A289155 1,1 %A A289155 _Zhining Yang_, Jun 26 2017