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 A068966 #15 Feb 16 2025 08:32:45 %S A068966 6,66,3204,6810,37716,72006,182430,532236,370614,2155134,3203694, %T A068966 6353634,51712890,42020844,28698786,33163770,55637466,125033580, %U A068966 172985436,105470250,151375626,178631034,185921166,217064574,939603126,376267326,1812742734,2193232470,853918566 %N A068966 Areas of integer Heronian triangles [prime(A068964(n)), prime(A068964(n)+1), A068965(n)]. %H A068966 Giovanni Resta, <a href="/A068966/b068966.txt">Table of n, a(n) for n = 1..385</a> %H A068966 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HeronianTriangle.html">Heronian Triangle</a>. %H A068966 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HeronsFormula.html">Heron's Formula</a>. %e A068966 A068964(3) = 24: [prime(24), prime(25), A068965(3)] = [89,97,170], with s = (89+97+170)/2 = 178: Area^2 = s*(s-89)*(s-81)*(s-170) = 178*89*81*8 = 10265616 = 3204*3204, therefore a(3) = 3204. %Y A068966 Cf. A046131, A055595, A068969. %K A068966 nonn %O A068966 1,1 %A A068966 _Reinhard Zumkeller_, Mar 30 2002 %E A068966 Terms a(13) and beyond from _Giovanni Resta_, Apr 20 2020