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Smallest area of a Pythagorean triangle with n as length of a leg.
7

%I #9 Feb 14 2020 13:58:24

%S 6,6,30,24,84,24,54,120,330,30,546,336,60,96,1224,216,1710,150,210,

%T 1320,3036,84,750,2184,486,294,6090,240,7440,384,726,4896,210,270,

%U 12654,6840,1014,180,17220,840,19866,726,540,12144,25944,336,4116,3000,1734,1014

%N Smallest area of a Pythagorean triangle with n as length of a leg.

%F a(n) = n*A055527(n)/2.

%p readlib(issqr): for a from 3 to 80 do for b from 1 by 1 while not issqr(a^2+b^2) do od: printf("%d, ",a*b/2) od: # C. Ronaldo

%t a[n_] := For[k = 1, True, k++, If[IntegerQ[Sqrt[n^2+k^2]], Return[n k/2]]];

%t a /@ Range[3, 100] (* _Jean-François Alcover_, Feb 14 2020 *)

%Y Cf. A009112, A046079, A046080, A046081, A054435, A055522, A055523, A055524, A055525, A055526, A055527.

%K nonn

%O 3,1

%A _Henry Bottomley_, May 22 2000