Search: id:A020882
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%I A020882
%S A020882 5,13,17,25,29,37,41,53,61,65,65,73,85,85,89,97,101,109,113,125,137,145,
%T A020882 145,149,157,169,173,181,185,185,193,197,205,205,221,221,229,233,241,257,
%U A020882 265,265,269,277,281,289,293,305,305,313,317,325,325,337,349,353,365,365
%N A020882 Ordered hypotenuses of primitive Pythagorean triangles.
%C A020882 The largest member 'c' of the primitive Pythagorean triples (a,b,c) ordered 
               by increasing c.
%C A020882 a(n) = sqrt[{(A120681(n)^2 + A120682(n)^2}/2]. - Lekraj Beedassy (blekraj(AT)yahoo.com), 
               Jun 24 2006
%C A020882 To find all triangle which have a given number as the difference between 
               their two smallest sides. - Paul Curtz (bpcrtz(AT)free.fr), Aug 22 
               2008
%D A020882 Frenicle: Methode pour trouver la solution des problemes par les exclusions.Page 
               25 of first 44 pages in Divers ouvrages de mathematique et de physique 
               par Messieurs de l'Academie Royale des Sciences, in-folio, 6+518+1 
               pp., Paris, 1693. - Paul Curtz (bpcrtz(AT)free.fr), Aug 22 2008
%H A020882 Hans Isdahl, <a href="http://62.63.40.20/fagstoff/pytagoras.htm">Pythagoras 
               site (in Norwegian)</a>
%H A020882 Ron Knott, <a href="http://www.mcs.surrey.ac.uk/Personal/R.Knott/Pythag/
               pythag.html">Pythagorean Triples and Online Calculators</a>
%H A020882 E. S. Rowland, <a href="http://www.math.rutgers.edu/~erowland/tripleslist-long.html">
               Primitive Solutions to x^2 + y^2 = z^2</a>
%H A020882 M. Somos, <a href="http://grail.csuohio.edu/~somos/rtritab.txt">Table 
               of primitive Pythagorean triplets and related parameters</a>
%H A020882 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PythagoreanTriple.html">Link to a section of The World of Mathematics.</
               a>
%t A020882 lst={}; amx=99; Do[For[b=a+1, b<(a^2/2), c=(a^2+b^2)^(1/2); If[c==IntegerPart[c]&&GCD[a, 
               b, c]==1, AppendTo[lst, c]]; b=b+2], {a, 3, amx}]; lst [From Vladimir 
               Orlovsky (4vladimir(AT)gmail.com), Aug 07 2008]
%Y A020882 Cf. A004613, A008846, A020883-A020886, A046086, A046087, A134961.
%Y A020882 Sequence in context: A037046 A126887 A087445 this_sequence A081804 A004613 
               A008846
%Y A020882 Adjacent sequences: A020879 A020880 A020881 this_sequence A020883 A020884 
               A020885
%K A020882 nonn
%O A020882 1,1
%A A020882 Clark Kimberling (ck6(AT)evansville.edu)

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