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%I #32 Jan 15 2022 23:16:56
%S 12,24,30,36,40,48,56,60,70,72,80,84,90,96,108,112,120,126,132,140,
%T 144,150,154,156,160,168,176,180,182,192,198,200,204,208,210,216,220,
%U 224,228,234,240,252,260,264,270,276,280,286,288,300,306,308,312,320,324
%N Perimeters of integer-sided right triangles.
%C A number k is in this sequence iff k is a multiple of some term in A024364.
%H Ray Chandler, <a href="/A010814/b010814.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from Vincenzo Librandi)
%H Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Pythag/pythag.html">Pythagorean Triples and Online Calculators</a>
%H <a href="/index/Ps#PyTrip">Index entries related to Pythagorean Triples.</a>
%p isA010814 := proc(an) local a::integer,b::integer,c::integer ; for c from 1 to floor(an/2) do for a from floor(c/sqrt(2)) to c-1 do if issqr(c^2-a^2) then b := sqrt(c^2-a^2) ; if a+b+c = an then RETURN(true) ; fi ; fi ; od ; od : RETURN(false) ; end : for n from 3 to 400 do if isA010814(n) then printf("%d,",n) ; fi ; od ; # _R. J. Mathar_, Jun 08 2006
%t lst={};Do[Do[If[IntegerQ[c=Sqrt[a^2+b^2]],AppendTo[lst,a+b+c]],{b,a-1,Floor[Sqrt[a]],-1}],{a,4,4*5!}];Take[Union@lst,100] (* _Vladimir Joseph Stephan Orlovsky_, Nov 23 2010 *)
%Y Twice A005279.
%Y Cf. A024364.
%K nonn,easy
%O 1,1
%A Ben Manvel (manvel(AT)lagrange.math.colostate.edu)
%E More terms from _Ray Chandler_, Mar 13 2004
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