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.

A068965 Sides of integer Heronian triangles [prime(A068964(n)), prime(A068964(n)+1), a(n)] with area A068966(n).

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%I A068965 #17 Feb 16 2025 08:32:45
%S A068965 4,20,170,452,890,2180,4052,5210,6500,10100,27380,43220,84068,95930,
%T A068965 118100,130052,183620,198458,246410,281252,357860,399620,410420,
%U A068965 455060,581060,656660,900500,1022468,1134020,1188890,1232468,1401140,1462058,1545290,1609220,1630820
%N A068965 Sides of integer Heronian triangles [prime(A068964(n)), prime(A068964(n)+1), a(n)] with area A068966(n).
%H A068965 Giovanni Resta, <a href="/A068965/b068965.txt">Table of n, a(n) for n = 1..385</a>
%H A068965 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HeronianTriangle.html">Heronian Triangle</a>.
%e A068965 A068964(3) = 24: [A000040(24), A000040(25), a(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 A068966(3) = 3204.
%K A068965 nonn
%O A068965 1,1
%A A068965 _Reinhard Zumkeller_, Mar 30 2002
%E A068965 Terms a(13) and beyond from _Giovanni Resta_, Apr 20 2020