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.

A070146 Numbers n such that [A070080(n), A070081(n), A070082(n)] is an acute integer triangle with integer area.

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%I A070146 #9 Feb 16 2025 08:32:46
%S A070146 39,269,375,587,862,972,1196,1955,1988,2352,2555,2796,3818,4319,4406,
%T A070146 5378,6522,6808,6880,6890,6921,7234,7360,8193,9159,9207,10272,14545,
%U A070146 15004,15061,15101,15216,15237,15943,16502
%N A070146 Numbers n such that [A070080(n), A070081(n), A070082(n)] is an acute integer triangle with integer area.
%H A070146 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HeronianTriangle.html">Heronian Triangle</a>.
%H A070146 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/AcuteTriangle.html">Acute Triangle</a>.
%H A070146 R. Zumkeller, <a href="/A070080/a070080.txt">Integer-sided triangles</a>
%e A070146 a(1)=39: [A070080(39), A070081(39), A070082(39)] = [5,5,6]: A070085(39)=5^2+5^2-6^2=14>0 and area^2 = s*(s-5)*(s-5)*(s-6) with s=A070083(39)/2=(5+5+6)/2=8, area^2=8*3*3*2=16*9 is an integer square, therefore A070086(39)=area=4*3=12.
%Y A070146 Cf. A070142, A070136, A070147, A070140.
%K A070146 nonn
%O A070146 1,1
%A A070146 _Reinhard Zumkeller_, May 05 2002