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.

A074236 Numbers that are the long leg of some integer right triangle and the hypotenuse of some other integer right triangle.

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%I A074236 #19 Jan 29 2024 19:12:33
%S A074236 15,20,30,35,40,45,52,55,60,68,70,75,80,90,91,100,104,105,110,116,117,
%T A074236 120,135,136,140,143,148,150,153,156,160,164,165,175,180,182,187,195,
%U A074236 200,204,208,210,212,220,221,225,232,234,240,244,245,247,255,260,270
%N A074236 Numbers that are the long leg of some integer right triangle and the hypotenuse of some other integer right triangle.
%C A074236 A009003 gives ordered values of hypotenuses of integer right triangles; A009012 gives ordered values of long legs of integer right triangles. Their intersection is this sequence.
%C A074236 Note that all terms are composite.
%F A074236 Intersection of A009012 and A009003.
%e A074236 15 is a term because it is the long leg of the integer right triangle with sides 8, 15, 17 and the hypotenuse of the integer right triangle with sides 9, 12, 15.
%t A074236 prims=With[{cps=Select[Subsets[Range[1,221,2],{2}],CoprimeQ@@#&]}, ptrip[ {a_,b_}]:={a*b,(b^2-a^2)/2,(b^2+a^2)/2};Sort[Sort/@(ptrip/@cps)]]; pyths= Sort[Flatten[Table[n #&/@prims,{n,200}],1]]; Take[Intersection[ Transpose[ pyths][[2]],Transpose[pyths][[3]]],80] (* _Harvey P. Dale_, Apr 26 2012 *)
%Y A074236 Cf. A009003, A009012.
%K A074236 nonn
%O A074236 1,1
%A A074236 _Zak Seidov_, Sep 18 2002
%E A074236 Corrected by _Harvey P. Dale_, Apr 26 2012