A226485 - OEIS

%I #9 Jun 13 2013 15:05:22

%S 2,6,8,12,14,18,20,26,30,32,32,36,42,42,44,48,50,54,56,62,68,72,72,74,

%T 78,84,86,90,92,92,96,98,102,102,110,110,114,116,120,128,132,132,134,

%U 138,140,144,146,152,152,156,158,162,162,168,174,176,182,182

%N Integer part of length of median to hypotenuse of primitive Pythagorean triangles sorted on hypotenuse.

%C The median to hypotenuse is equal to the circumradius.

%C The length of the median is sqrt((a^2)/2 + (b^2)/2 - (c^2)/4) where a,b,c are sides of the triangle. In case of Pythagorean triangles, m=h/2 were h is the hypotenuse.

%H Ron Knott, <a href="http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Pythag/pythag.html">Pythagorean Triples and Online Calculators</a>

%F a(n) = floor(A020882(n)/2).

%e a(1)=2 as it is the integer portion of the length of the median to hypotenuse of triangle having sides 3,4,5.

%e Similarly, a(5)=14 as it is the integer portion of the length of the median to hypotenuse of triangle having sides 20,21,29.

%Y Cf. A020882.

%K nonn

%O 1,1

%A _Mihir Mathur_, Jun 09 2013